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Celebratio Mathematica

Shiing-Shen Chern

Geometry  ·  U Chicago

Complete Bibliography

[1] article H. S. Chen: “Pairs of plane curves with points in one-to-one cor­res­pond­ence,” Sci. Rep. Nat. Tsing Hua Univ. (A) 1 (1932), pp. 145–​153. JFM 58.​1239.​03 Zbl 0005.​41004

[2] article S.-S. Chern: “Tri­ads of rec­ti­lin­ear con­gru­ences with gen­er­at­ors in cor­res­pond­ence,” To­hoku Math. J. 40 (1935), pp. 179–​188. JFM 61.​1436.​03 Zbl 0010.​41704

[3] article S.-S. Chern: “As­so­ci­ate quad­rat­ic com­plexes of a rec­ti­lin­ear con­gru­ence,” To­hoku Math. J. 40 (1935), pp. 293–​316. JFM 61.​1437.​01 Zbl 0010.​41801

[4] article S.-S. Chern: “Eine In­vari­anten­the­or­ie der Dreigewebe aus \( r \)-di­men­sionalen Man­nig­faltigkeiten im \( \mathbb{R}_{2r} \)” [An in­vari­ant the­ory of three-webs on \( r \)-di­men­sion­al man­i­folds in \( \mathbb{R}_{2r} \)], Abh. Math. Semin. Hamb. Univ. 11 : 1 (1935–1936), pp. 333–​358. To­po­lo­gis­che Fra­gen der Dif­fer­en­tial­geo­met­rie 62. JFM 62.​0829.​03 Zbl 0013.​41802

[5] article S.-S. Chern: “Abzählun­gen für Gewebe” [Enu­mer­a­tion of webs], Abh. Math. Semin. Hamb. Univ. 11 : 1 (1935–1936), pp. 163–​170. To­po­lo­gis­che Fra­gen der Dif­fer­en­tial­geo­met­rie 60. See also the au­thor’s PhD thes­is (1936). Zbl 0011.​13202

[6] phdthesis S.-S. Chern: Abzählun­gen für Gewebe [Enu­mer­a­tion of webs]. Ph.D. thesis, Ham­burg Uni­versity, 1936. Ad­vised by W. J. E. Blasch­ke. See also Abh. Math. Semin. Hamb. Univ. 11:1 (1935–1936).

[7] article S.-S. Chern: “Sur la géométrie d’une équa­tion différen­ti­elle du troisième or­dre” [On the geo­metry of a dif­fer­en­tial equa­tion of third or­der], C. R. Acad. Sci., Par­is 204 (1937), pp. 1227–​1229. JFM 63.​0419.​01 Zbl 0016.​16401

[8] article S.-S. Chern: “Sur la pos­sib­il­ité de plonger un es­pace à con­nex­ion pro­ject­ive don­né dans un es­pace pro­jec­tif” [On the pos­sib­il­ity of im­mers­ing a pro­ject­ive con­nec­tion space in a pro­ject­ive space], Bull. Sci. Math., II. Sér. 61 (1937), pp. 234–​243. JFM 63.​0692.​03 Zbl 0017.​22804

[9] article S.-S. Chern: “On two af­fine con­nec­tions,” J. Yun­nan Na­tion. Univ., Nat. Sci. 1 (1938), pp. 1–​18.

[10] article S.-S. Chern: “On pro­ject­ive nor­mal coördin­ates,” Ann. Math. (2) 39 : 1 (January 1938), pp. 165–​171. MR 1503394 Zbl 0018.​23604

[11] article S.-S. Chern: “Sur la géométrie d’un sys­tème d’équa­tions différen­ti­elles du second or­dre” [On the geo­met­ery of a sys­tem of second or­der dif­fer­en­tial equa­tions], Bull. Sci. Math., II. Ser. 63 (1939), pp. 206–​212. MR 0000889 Zbl 0023.​07701

[12] article S.-S. Chern: “Sur les in­vari­ants in­té­graux en géométrie” [On in­teg­ral in­vari­ants in geo­metry], Sci. Rep. Nat. Tsing Hua Univ. (A) 4 (1940), pp. 85–​95. MR 0004527 Zbl 0024.​18201

[13] article S.-S. Chern: “Gen­er­al­iz­a­tion of a for­mula of Crofton,” Wuhan Univ. J. Sci. 7 (1940), pp. 1–​16. See also C. R. Acad. Sci., Par­is 210 (1940).

[14] article S.-S. Chern: “The geo­metry of high­er path-spaces,” J. Chin. Math. Soc. 2 (1940), pp. 247–​276. MR 0004531 Zbl 0063.​00828

[15] article S.-S. Chern: “The geo­metry of the dif­fer­en­tial equa­tion \( y^{\prime\prime\prime}=F(x,y,y^{\prime},y^{\prime\prime}) \),” Sci. Rep. Nat. Tsing Hua Univ. (A) 4 (1940), pp. 97–​111. MR 0004538 Zbl 0024.​19801

[16] article S.-S. Chern: “Sur une général­isa­tion d’une for­mule de Crofton” [On a gen­er­al­iz­a­tion of a for­mula of Crofton], C. R. Acad. Sci., Par­is 210 (1940), pp. 757–​758. See also Wuhan Univ. J. Sci. 7 (1940). MR 0006076 Zbl 0024.​35601

[17] article S.-S. Chern and C.-t. Yi­en: “Sulla for­mula prin­cip­ale cine­mat­ica dello spazio ad \( n \) di­men­sioni” [The main kin­emat­ic for­mula for space of \( n \) di­men­sions], Boll. Uni­one Mat. It­al., II. Ser. 2 (1940), pp. 434–​437. See also Am. J. Math. 74 (1952). MR 0004983 Zbl 0024.​08402

[18] article S.-S. Chern: “Sur les in­vari­ants de con­tact en géométrie pro­ject­ive différen­ti­elle” [On in­vari­ants of con­tact in pro­ject­ive dif­fer­en­tial geo­metry], Acta 5 (1941), pp. 123–​140. MR 0025786 Zbl 0028.​08901

[19] article S.-S. Chern: “On in­teg­ral geo­metry in Klein spaces,” Ann. Math. (2) 43 : 1 (January 1942), pp. 178–​189. MR 0006075 Zbl 0147.​22303

[20] article S.-S. Chern: “On the in­vari­ants of con­tact of curves in a pro­ject­ive space of \( n \) di­men­sions and their geo­met­ric­al in­ter­pret­a­tion,” Sci. Rec. 1 (1942), pp. 11–​15. MR 0007636 Zbl 0063.​00830

[21] article S.-S. Chern: “On a Weyl geo­metry defined from an \( (n-1) \)-para­met­er fam­ily of hy­per­sur­faces in a space of \( n \) di­men­sions,” Sci. Rec. 1 (1942), pp. 7–​10. MR 0007637 Zbl 0060.​39208

[22] article S.-S. Chern: “The geo­metry of iso­trop­ic sur­faces,” Ann. Math. (2) 43 : 3 (July 1942), pp. 545–​559. MR 0006477 Zbl 0060.​39207

[23] article S.-S. Chern: “A gen­er­al­iz­a­tion of the pro­ject­ive geo­metry of lin­ear spaces,” Proc. Natl. Acad. Sci. U. S. A. 29 : 1 (January 1943), pp. 38–​43. MR 0008192 Zbl 0060.​39209

[24] article S.-S. Chern: “On the Eu­c­lidean con­nec­tions in a Finsler space,” Proc. Natl. Acad. Sci. U. S. A. 29 : 1 (January 1943), pp. 33–​37. MR 0008191 Zbl 0060.​39210

[25] article S.-S. Chern: “In­teg­ral for­mu­las for the char­ac­ter­ist­ic classes of sphere bundles,” Proc. Nat. Acad. Sci. U.S.A. 30 : 9 (September 1944), pp. 269–​273. MR 0011028 Zbl 0060.​38105

[26] article S.-S. Chern: “Laplace trans­forms of a class of high­er di­men­sion­al vari­et­ies in a pro­ject­ive space of \( n \) di­men­sions,” Proc. Natl. Acad. Sci. U.S.A. 30 : 4 (April 1944), pp. 95–​97. MR 0009882 Zbl 0063.​00831

[27] article S.-S. Chern: “On a the­or­em of al­gebra and its geo­met­ric­al ap­plic­a­tion,” J. In­di­an Math. Soc., New Ser. 8 (1944), pp. 29–​36. MR 0011786 Zbl 0060.​38201

[28] article S.-S. Chern: “A simple in­trins­ic proof of the Gauss–Bon­net for­mula for closed Rieman­ni­an man­i­folds,” Ann. Math. (2) 45 : 4 (October 1944), pp. 747–​752. MR 0011027 Zbl 0060.​38103

[29] article S.-S. Chern: “On Rieman­ni­an man­i­folds of four di­men­sions,” Bull. Am. Math. Soc. 51 : 12 (1945), pp. 964–​971. MR 0013910 Zbl 0060.​41405

[30] article S.-S. Chern: “On Grass­mann and dif­fer­en­tial rings and their re­la­tions to the the­ory of mul­tiple in­teg­rals,” Sankhyā 7 : 1 (August 1945), pp. 2–​8. MR 0013752 Zbl 0063.​00832

[31] article S.-S. Chern: “On the curvatura in­tegra in a Rieman­ni­an man­i­fold,” Ann. Math. (2) 46 : 4 (October 1945), pp. 674–​684. MR 0014760 Zbl 0060.​38104

[32] article S.-S. Chern: “Some new char­ac­ter­iz­a­tions of the Eu­c­lidean sphere,” Duke Math. J. 12 : 2 (1945), pp. 279–​290. MR 0012492 Zbl 0063.​00833

[33] article S.-S. Chern: “Some new view­points in dif­fer­en­tial geo­metry in the large,” Bull. Am. Math. Soc. 52 : 1 (1946), pp. 1–​30. MR 0021706 Zbl 0063.​00834

[34] article S.-S. Chern: “Char­ac­ter­ist­ic classes of Her­mitian man­i­folds,” Ann. Math. (2) 47 : 1 (January 1946), pp. 85–​121. MR 0015793 Zbl 0060.​41416

[35] article S.-S. Chern and H.-c. Wang: “Dif­fer­en­tial geo­metry in sym­plect­ic space, I,” Sci. Rep. Nat. Tsing Hua Univ. (A) 4 (1947), pp. 453–​477. MR 0025788

[36] article S.-S. Chern: “Sur une classe re­marquable de var­iétés dans l’es­pace pro­jec­tif à \( n \) di­men­sions” [On a re­mark­able class of vari­et­ies in pro­ject­ive space of \( n \) di­men­sions], Sci. Rep. Nat. Tsing Hua Univ. (A) 4 (1947), pp. 328–​336. MR 0025787

[37] article S.-S. Chern: “Note on af­finely con­nec­ted man­i­folds,” Bull. Am. Math. Soc. 53 : 8 (1947), pp. 820–​823. A cor­rec­tion was pub­lished in Bull. Am. Math. Soc. 54:10 (1948). MR 0021443 Zbl 0032.​31004

[38] article S.-S. Chern: “On the char­ac­ter­ist­ic ring of a dif­fer­en­ti­able man­i­fold,” Sci. Rec. 2 (1947), pp. 1–​5. MR 0023053

[39] article S.-S. Chern: “On the char­ac­ter­ist­ic classes of Rieman­ni­an man­i­folds,” Proc. Nat. Acad. Sci. U. S. A. 33 : 4 (April 1947), pp. 78–​82. MR 0019980 Zbl 0034.​25002

[40] article S.-S. Chern: “Note on pro­ject­ive dif­fer­en­tial line geo­metry,” Sci. Rec. 2 : 2 (1948), pp. 137–​139. MR 0026848 Zbl 0200.​00005

[41] article S.-S. Chern: “On the mul­ti­plic­a­tion in the char­ac­ter­ist­ic ring of a sphere bundle,” Ann. Math. (2) 49 : 2 (April 1948), pp. 362–​372. MR 0024127 Zbl 0033.​40202

[42] article S.-S. Chern and Y.-l. Jou: “On the ori­ent­ab­il­ity of dif­fer­en­ti­able man­i­folds,” Sci. Rep. Nat. Tsing Hua Univ. (A) 5 (1948), pp. 13–​17. MR 0025153 Zbl 0200.​00006

[43] article S.-S. Chern: “Cor­rec­tion: ‘Note on af­finely con­nec­ted man­i­folds’,” Bull. Am. Math. Soc. 54 : 10 (1948), pp. 985–​986. Cor­rec­tion to Bull. Am. Math. Soc. 53:8 (1947). MR 0026849 Zbl 0032.​31005

[44] article S.-S. Chern: “Loc­al equi­val­ence and Eu­c­lidean con­nec­tions in Finsler spaces,” Sci. Rep. Nat. Tsing Hua Univ. (A) 5 (1948), pp. 95–​121. MR 0031812 Zbl 0200.​00004

[45] article S.-S. Chern and S.-T. Hu: “Par­al­lel­is­ab­il­ity of prin­cip­al fibre bundles,” Trans. Am. Math. Soc. 67 (1949), pp. 304–​309. MR 0032997 Zbl 0037.​10301

[46] article S.-S. Chern and Y.-F. Sun: “The im­bed­ding the­or­em for fibre bundles,” Trans. Am. Math. Soc. 67 (1949), pp. 286–​303. MR 0032996 Zbl 0037.​10203

[47] article S.-S. Chern and E. Span­i­er: “The ho­mo­logy struc­ture of sphere bundles,” Proc. Natl. Acad. Sci. U.S.A. 36 : 4 (April 1950), pp. 248–​255. MR 0035994 Zbl 0035.​38803

[48] book S.-S. Chern: Top­ics in dif­fer­en­tial geo­metry. In­sti­tute for Ad­vanced Study (Prin­ceton, NJ), 1951. MR 0090080 Zbl 0054.​06801

[49] article S.-S. Chern and E. Span­i­er: “A the­or­em on ori­ent­able sur­faces in four-di­men­sion­al space,” Com­ment. Math. Helv. 25 (1951), pp. 205–​209. MR 0044883 Zbl 0043.​38403

[50] article S.-S. Chern: “La géométrie des sous-var­iétés d’un es­pace eu­c­lidi­en à plusieurs di­men­sions” [The geo­metry of sub­man­i­folds of Eu­c­lidean space in sev­er­al di­men­sions], En­sei­gn. Math. 40 (1951–1954), pp. 26–​46. MR 0068280 Zbl 0064.​17504

[51] article S.-S. Chern and N. H. Kuiper: “Some the­or­ems on the iso­met­ric im­bed­ding of com­pact Riemann man­i­folds in Eu­c­lidean space,” Ann. Math. (2) 56 : 3 (November 1952), pp. 422–​430. MR 0050962 Zbl 0052.​17601

[52] article S.-S. Chern and C. Che­val­ley: “Élie Cartan and his math­em­at­ic­al work,” Bull. Am. Math. Soc. 58 (1952), pp. 217–​250. MR 0046972 Zbl 0046.​00304

[53] incollection S.-S. Chern: “Dif­fer­en­tial geo­metry of fiber bundles,” pp. 397–​411 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Cam­bridge, MA, 30 Au­gust–6 Septem­ber 1950), vol. 2. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1952. MR 0045432 Zbl 0049.​24201

[54] article S.-S. Chern: “On the kin­emat­ic for­mula in the Eu­c­lidean space of \( n \) di­men­sions,” Am. J. Math. 74 (1952), pp. 227–​236. See also Boll. Uni­one Mat. It­al. 2 (1940). MR 0047353 Zbl 0046.​16101

[55] article S.-S. Chern: “Some for­mu­las in the the­ory of sur­faces,” Bol. Soc. Mat. Mex. 10 : 1–​2 (1953), pp. 30–​40. MR 0058267 Zbl 0053.​29903

[56] incollection S.-S. Chern: “Pseudo-groupes con­tinus in­finis” [In­fin­ite con­tinu­ous pseudogroups], pp. 119–​136 in Géométrie différen­ti­elle [Dif­fer­en­tial geo­metry] (Stras­bourg, 26 May–1 June 1953). Edi­ted by C. Ehresmann and A. Lich­ner­ow­icz. Col­loques In­ter­na­tionaux 52. CNRS (Par­is), 1953. MR 0063377 Zbl 0053.​01604

[57] book S.-S. Chern: Dif­fer­en­ti­able man­i­folds. Uni­versity of Chica­go, 1953. Notes for Spring 1952 course Math 354A. See also Dif­fer­en­ti­able man­i­folds (1959) and Dif­fer­en­ti­able man­i­folds (1960).

[58] article S.-S. Chern: “Book re­view: ‘Sur les es­paces fibrés et les var­iétés feuil­letées’, by W.-T. Wu and G. Reeb,” Bull. Am. Math. Soc. 59 : 3 (1953), pp. 258–​263. MR 1565488

[59] article S.-S. Chern: “Re­la­tions between Rieman­ni­an and Her­mitian geo­met­ries,” Duke Math. J. 20 : 4 (1953), pp. 575–​587. MR 0060885 Zbl 0052.​17604

[60] article S.-S. Chern: “On the char­ac­ter­ist­ic classes of com­plex sphere bundles and al­geb­ra­ic vari­et­ies,” Am. J. Math. 75 : 3 (July 1953), pp. 565–​597. MR 0056966 Zbl 0051.​14301

[61] article S.-S. Chern, P. Hart­man, and A. Wint­ner: “On iso­therm­ic co­ordin­ates,” Com­ment. Math. Helv. 28 (1954), pp. 301–​309. Ded­ic­ated to Pro­fess­or H. Hopf on his 60th birth­day. MR 0066718 Zbl 0056.​40206

[62] article S.-S. Chern: “An ele­ment­ary proof of the ex­ist­ence of iso­therm­al para­met­ers on a sur­face,” Proc. Am. Math. Soc. 6 (1955), pp. 771–​782. MR 0074856 Zbl 0066.​15402

[63] article S. S. Chern: “Book re­view: ‘In­tro­duc­tion to in­teg­ral geo­metry’, by L. San­taló,” Bull. Am. Math. Soc. 61 : 4 (1955), pp. 358–​359. MR 1565701

[64] article S.-S. Chern: “On spe­cial \( W \)-sur­faces,” Proc. Am. Math. Soc. 6 : 5 (October 1955), pp. 783–​786. MR 0074857 Zbl 0067.​13801

[65] article S.-S. Chern: “On curvature and char­ac­ter­ist­ic classes of a Riemann man­i­fold,” Abh. Math. Semin. Univ. Hamb. 20 : 1–​2 (1955), pp. 117–​126. Ded­ic­ated to Wil­helm Blasch­ke on his sev­en­ti­eth birth­day. MR 0075647 Zbl 0066.​17003

[66] book S.-S. Chern: Com­plex man­i­folds. Uni­versity of Chica­go, 1956. See also Com­plex man­i­fold (1959). Rus­si­an trans­la­tion ap­peared as Kom­pleksnye mno­goo­brazija (1961).

[67] article S.-S. Chern: “Sci­entif­ic re­port on the Second Sum­mer In­sti­tute, part II: Com­plex man­i­folds,” Bull. Am. Math. Soc. 62 (1956), pp. 101–​117. Uni­versity of Col­or­ado, 21 June–31 Ju­ly 1954. Zbl 0074.​30301

[68] article S.-S. Chern, F. Hirzebruch, and J.-P. Serre: “On the in­dex of a fibered man­i­fold,” Proc. Am. Math. Soc. 8 (1957), pp. 587–​596. MR 0087943 Zbl 0083.​17801

[69] article S.-S. Chern and R. K. Lashof: “On the total curvature of im­mersed man­i­folds,” Am. J. Math. 79 : 2 (April 1957), pp. 306–​318. MR 0084811 Zbl 0078.​13901

[70] article S. S. Chern: “Book re­view: ‘Théor­ie glob­ale des con­nex­ions et des groupes d’holo­nomie’, by A. Lich­ner­ow­icz,” Bull. Am. Math. Soc. 63 : 1 (1957), pp. 57–​59. MR 1565836

[71] article S.-S. Chern: “A proof of the unique­ness of Minkowski’s prob­lem for con­vex sur­faces,” Am. J. Math. 79 : 4 (October 1957), pp. 949–​950. MR 0096285 Zbl 0086.​14603

[72] incollection S.-S. Chern: “On a gen­er­al­iz­a­tion of Kähler geo­metry,” pp. 103–​121 in Al­geb­ra­ic geo­metry and to­po­logy: A sym­posi­um in hon­or of S. Lef­schetz (Prin­ceton, NJ, 8–10 April 1954). Edi­ted by R. H. Fox, D. C. Spen­cer, and A. W. Tuck­er. Prin­ceton Math­em­at­ic­al Series 12. Prin­ceton Uni­versity Press, 1957. MR 0087172 Zbl 0078.​14103

[73] article S. Chern: “Book re­view: ‘The the­ory of Lie de­riv­at­ives and its ap­plic­a­tions’, by K. Yano,” Am. Math. Mon. 65 : 4 (April 1958), pp. 294–​295. MR 1529919

[74] incollection S.-S. Chern: “Geo­metry of sub­man­i­folds in a com­plex pro­ject­ive space,” pp. 87–​96 in Sym­posi­um in­ter­nacion­al de to­po­lo­gía al­geb­ra­ica [In­ter­na­tion­al sym­posi­um on al­geb­ra­ic to­po­logy] (Mex­ico City, Au­gust 1956). Uni­ver­sid­ad Nacion­al Autónoma de México and UN­ESCO (Mex­ico City and Par­is), 1958. MR 0100288 Zbl 0178.​55501

[75] article S.-S. Chern and R. K. Lashof: “On the total curvature of im­mersed man­i­folds, II,” Mich. Math. J. 5 : 1 (1958), pp. 5–​12. MR 0097834 Zbl 0095.​35803

[76] article S. S. Chern: “Book re­view: ‘Neue to­po­lo­gis­che Meth­oden in der al­geb­rais­chen Geo­met­rie’, by F. Hirzebruch,” Bull. Am. Math. Soc. 64 : 3 (1958), pp. 119–​123. MR 1565916

[77] book S.-S. Chern: Com­plex man­i­folds. Tex­tos de Matemát­ica 5. Uni­ver­sid­ade do Re­cife, 1959. See also Com­plex man­i­folds (1956). MR 0111055 Zbl 0088.​37801

[78] book S.-S. Chern: Dif­fer­en­ti­able man­i­folds. Tex­tos de Matemát­ica 4. Uni­ver­sid­ade do Re­cife, 1959. See also Dif­fer­en­ti­able man­i­folds (1953) and Dif­fer­en­ti­able man­i­folds (1960). MR 0133741 Zbl 0099.​37402

[79] article S.-S. Chern: “In­teg­ral for­mu­las for hy­per­sur­faces in Eu­c­lidean space and their ap­plic­a­tions to unique­ness the­or­ems,” J. Math. Mech. 8 : 6 (1959), pp. 947–​955. MR 0114170 Zbl 0090.​12802

[80] book S.-S. Chern: Dif­fer­en­ti­able man­i­folds. Uni­versity of Chica­go, 1960. Notes for Winter 1959 course Math 243. See also Dif­fer­en­ti­able man­i­folds (1959) and Dif­fer­en­ti­able man­i­folds (1953).

[81] booklet S.-S. Chern: Geo­met­ric­al struc­tures on man­i­folds (East Lans­ing, MI, 30 Au­gust–2 Septem­ber, 1960). Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1960.

[82] article S.-S. Chern: “Com­plex ana­lyt­ic map­pings of Riemann sur­faces, I,” Am. J. Math. 82 : 2 (April 1960), pp. 323–​337. Ded­ic­ated to Pro­fess­or Mar­ston Morse. MR 0115183 Zbl 0103.​30104

[83] article S.-S. Chern: “The in­teg­rated form of the first main the­or­em for com­plex ana­lyt­ic map­pings in sev­er­al com­plex vari­ables,” Ann. Math. (2) 71 : 3 (May 1960), pp. 536–​551. MR 0125979 Zbl 0142.​04802

[84] incollection S.-S. Chern: “Dif­fer­en­tial geo­metry and in­teg­ral geo­metry,” pp. 441–​449 in Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (Ed­in­burgh, 14–21 Au­gust 1958). Edi­ted by J. A. Todd. Cam­bridge Uni­versity Press, 1960. A Ger­man trans­la­tion was pub­lished in Dif­fer­en­tial­geo­met­rie und In­teg­ral­geo­met­rie (1972). MR 0120601 Zbl 0119.​38003

[85] article S. S. Chern, J. Hano, and C. C. Hsiung: “A unique­ness the­or­em on closed con­vex hy­per­sur­faces in Eu­c­lidean space,” J. Math. Mech. 9 : 1 (1960), pp. 85–​88. MR 0116289 Zbl 0101.​13903

[86] article S.-S. Chern: “Holo­morph­ic map­pings of com­plex man­i­folds,” En­sei­gn. Math., II. Sér. 7 (1961), pp. 179–​187. MR 0136768 Zbl 0113.​06402

[87] book S.-S. Chern: Kom­pleksnye mno­goo­brazija [Com­plex man­i­folds]. Pub­lish­er of For­eign Lit­er­at­ure (Mo­scow), 1961. In Rus­si­an. Trans­la­tion of Com­plex man­i­folds (1956). Zbl 0098.​35201

[88] incollection S.-S. Chern: “Sur les métriques rieman­ni­ennes com­pat­ibles avec une re­duc­tion du groupe struc­tur­al” [On Rieman­ni­an met­rics com­pat­ible with a re­duc­tion of the struc­ture group], pp. 1–​2 in Sémin­aire Ehresmann: To­po­lo­gie et géométrie différen­ti­elle, vol. 2: 1958–1960. Secrétari­at Math­ématique (Par­is), 1961. Ex­posé no. 8. Zbl 0129.​36402

[89] article S.-S. Chern: “Geo­metry of a quad­rat­ic dif­fer­en­tial form,” J. Soc. Ind. Ap­pl. Math. 10 : 4 (1962), pp. 751–​755. MR 0154230 Zbl 0106.​15102

[90] article S.-S. Chern and C.-c. Hsiung: “On the iso­metry of com­pact sub­man­i­folds in eu­c­lidean space,” Math. Ann. 149 (1963), pp. 278–​285. MR 0148011 Zbl 0124.​37501

[91] article S.-S. Chern: “Pseudo-Rieman­ni­an geo­metry and the Gauss–Bon­net for­mula,” Anais Acad. Brasil. Ci. 35 (1963), pp. 17–​26. MR 0155261 Zbl 0113.​37001

[92]R. Bott and S. S. Chern: “Her­mitian vec­tor bundles and the equidistri­bu­tion of the zer­oes of their holo­morph­ic sec­tions,” Acta Math. 114 : 1 (1965), pp. 71–​112. A Rus­si­an trans­la­tion was pub­lished in Matem­atika 14:2 (1970). MR 0185607 Zbl 0148.​31906 article

[93] article S.-S. Chern: “On the curvatures of a piece of hy­per­sur­face in eu­c­lidean space,” Abh. Math. Semin. Univ. Hamb. 29 : 1–​2 (December 1965), pp. 77–​91. Ded­ic­ated to Pro­fess­or Emanuel Sper­n­er on his six­tieth birth­day. MR 0188949 Zbl 0147.​20901

[94] incollection S.-S. Chern: “Min­im­al sur­faces in an Eu­c­lidean space of \( N \) di­men­sions,” pp. 187–​198 in Dif­fer­en­tial and com­bin­at­or­i­al to­po­logy (A sym­posi­um in hon­or of Mar­ston Morse). Edi­ted by S. S. Cairns. Prin­ceton Math­em­at­ic­al Series 27. Prin­ceton Uni­versity Press, 1965. MR 0180926 Zbl 0136.​16701

[95] article S. S. Chern: “The geo­metry of \( G \)-struc­tures,” Bull. Am. Math. Soc. 72 (1966), pp. 167–​219. MR 0192436 Zbl 0136.​17804

[96] incollection S.-S. Chern: “Geo­met­ric struc­tures on man­i­folds and sub­man­i­folds,” pp. 127–​135 in Belfer Gradu­ate School of Sci­ence an­nu­al sci­ence con­fer­ence pro­ceed­ings: Some re­cent ad­vances in the ba­sic sci­ences (Belfer Gradu­ate School of Sci­ence, Ye­shiva Uni­versity, New York, 1962–1964), vol. 1. Edi­ted by A. Gel­bart. Ye­shiva Uni­versity Press (New York), 1966. MR 0208511

[97] incollection S.-S. Chern: “On the dif­fer­en­tial geo­metry of a piece of sub­man­i­fold in Eu­c­lidean space,” pp. 17–​21 in Pro­ceed­ings of the United States–Ja­pan sem­in­ar in dif­fer­en­tial geo­metry (Kyoto, 14–19 June 1965). Edi­ted by K. Daigaku and S. K. Ken­kyūjo. Nip­pon Hy­oron­sha (Tokyo), 1966. MR 0216435 Zbl 0151.​27902

[98] book Stud­ies in glob­al geo­metry and ana­lys­is. Edi­ted by S.-S. Chern. MAA Stud­ies in Math­em­at­ics 4. Math­em­at­ic­al As­so­ci­ation of Amer­ica (Wash­ing­ton, DC), 1967. 2nd edi­tion was no. 27 in this series, titled Glob­al dif­fer­en­tial geo­metry (1989). MR 0210537 Zbl 0175.​48102

[99] article S.-S. Chern: “Ein­stein hy­per­sur­faces in a Käh­leri­an man­i­fold of con­stant holo­morph­ic curvature,” J. Diff. Geom. 1 : 1 (1967), pp. 21–​31. MR 0219013 Zbl 0168.​19505

[100] article S.-S. Chern: “On the kin­emat­ic for­mula in in­teg­ral geo­metry,” J. Math. Mech. 16 (1967), pp. 101–​118. MR 0198406 Zbl 0142.​20704

[101] misc S.-S. Chern: Lec­tures on in­teg­ral geo­metry, 1967. Typescript notes from 1965 Sum­mer Sci­ence Sem­in­ar, Aca­demia Sin­ica, Taipei. Sem­in­ar sponsored by Na­tion­al Tsinghua Uni­versity, Aca­demia Sin­ica and Na­tion­al Taiwan Uni­versity. Zbl 0142.​20801

[102] incollection S.-S. Chern: “Curves and sur­faces in Eu­c­lidean space,” pp. 16–​56 in Stud­ies in glob­al geo­metry and ana­lys­is. Edi­ted by S.-S. Chern. MAA Stud­ies in Math­em­at­ics 4. Math­em­at­ic­al As­so­ci­ation of Amer­ica (Wash­ing­ton, DC), 1967. This later ap­peared in Curves and sur­faces in Eu­c­lidean space (1989) . MR 0212744

[103] article S.-S. Chern and R. Os­ser­man: “Com­plete min­im­al sur­faces in Eu­c­lidean \( n \)-space,” J. Anal. Math. 19 : 1 (1967), pp. 15–​34. MR 0226514 Zbl 0172.​22802

[104] book S. S. Chern: Com­plex man­i­folds without po­ten­tial the­ory. Van Nos­trand Math­em­at­ic­al Stud­ies 15. D. Van Nos­trand (Prin­ceton, NJ), 1967. MR 0225346 Zbl 0158.​33002

[105] book En­tire func­tions and re­lated parts of ana­lys­is (La Jolla, CA, 27 June–22 Ju­ly 1966), vol. 11. Edi­ted by J. Korevaar, S.-S. Chern, L. Ehren­pre­is, W. H. J. Fuchs, and L. A. Ru­bel. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1968. MR 0232935 Zbl 0177.​29306

[106] incollection S.-S. Chern: “On holo­morph­ic map­pings of her­mitian man­i­folds of the same di­men­sion,” pp. 157–​170 in En­tire func­tions and re­lated parts of ana­lys­is (La Jolla, CA, 27 June–22 Ju­ly 1966). Edi­ted by J. Korevaar, S.-S. Chern, L. Ehren­pre­is, W. H. J. Fuchs, and L. A. Ru­bel. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 11. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1968. MR 0234397 Zbl 0184.​31202

[107] techreport S.-S. Chern: Min­im­al sub­man­i­folds in a Rieman­ni­an man­i­fold. Technical report 19, Uni­versity of Kan­sas, Lawrence, 1968. MR 0248648

[108] article S.-S. Chern: “Simple proofs of two the­or­ems on min­im­al sur­faces,” En­sei­gn. Math. (2) 15 (1969), pp. 53–​61. MR 0246212 Zbl 0175.​18603

[109] incollection S. S. Chern, H. I. Lev­ine, and L. Niren­berg: “In­trins­ic norms on a com­plex man­i­fold,” pp. 119–​139 in Glob­al ana­lys­is: Pa­pers in Hon­or of K. Kodaira. Edi­ted by D. C. Spen­cer. Uni­versity Tokyo Press, 1969. MR 0254877 Zbl 0202.​11603

[110]R. Bott and S. S. Chern: “Some for­mu­las re­lated to com­plex trans­gres­sion,” pp. 48–​57 in Es­says on to­po­logy and re­lated top­ics: Mé­m­oires dédiés à Georges de Rham [Es­says on to­po­logy and re­lated top­ics: Mem­oirs ded­ic­ated to Georges de Rham]. Edi­ted by A. Hae­fli­ger and R. Narasim­han. Spring­er (New York), 1970. MR 0264715 Zbl 0203.​54202 incollection

[111] incollection S. S. Chern, M. do Car­mo, and S. Kobay­ashi: “Min­im­al sub­man­i­folds of a sphere with second fun­da­ment­al form of con­stant length,” pp. 59–​75 in Func­tion­al ana­lys­is and re­lated fields: Pro­ceed­ings of a con­fer­ence in hon­or of Pro­fess­or M. Stone (Uni­versity of Chica­go, May 1968). Edi­ted by F. E. Browder. Spring­er (New York), 1970. MR 0273546 Zbl 0216.​44001

[112]M. Atiyah and S. S. Chern: “Her­mitian vec­tor bundles and the equidistri­bu­tion of the zer­os of their holo­morph­ic sec­tions,” Matem­atika, Mosk­va 14 : 2 (1970), pp. 117–​154. Rus­si­an trans­la­tion of an art­icle in Acta Math. 114:1 (1965). Zbl 0208.​35101 article

[113] article S. S. Chern: “Book re­view: ‘Dif­fer­en­tial geo­metry’, by J. J. Stoker,” Am. Math. Mon. 77 : 3 (March 1970), pp. 317. MR 1535844

[114] incollection S.-S. Chern: “Holo­morph­ic curves and min­im­al sur­faces,” pp. 1–​28 in Pro­ceed­ings of the Car­o­lina con­fer­ence on holo­morph­ic map­pings and min­im­al sur­faces (Chapel Hill, NC, 30 March 30–3 April 1970). Edi­ted by D. A. Eis­en­man and L. E. Taylor. Uni­versity of North Car­o­lina (Chapel Hill, NC), 1970. MR 0273522 Zbl 0222.​53005

[115] incollection S.-S. Chern: “On the min­im­al im­mer­sions of the two-sphere in a space of con­stant curvature,” pp. 27–​40 in Prob­lems in ana­lys­is: A sym­posi­um in hon­or of Sa­lomon Boch­ner (Prin­ceton, NJ, 1–3 April 1969). Edi­ted by R. C. Gun­ning. Prin­ceton Math­em­at­ic­al Series 31. Prin­ceton Uni­versity Press, 1970. MR 0362151 Zbl 0217.​47601

[116] book Glob­al ana­lys­is (Berke­ley, CA, 1–26 Ju­ly 1968). Edi­ted by S.-S. Chern and S. Smale. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 14. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1970. MR 0263081 Zbl 0204.​07601

[117] book Glob­al ana­lys­is. Edi­ted by S.-S. Chern and S. Smale. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 16. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1970. Zbl 0204.​07603

[118] book Glob­al ana­lys­is. Edi­ted by S.-S. Chern and S. Smale. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 15. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1970. Zbl 0204.​07602

[119] incollection S.-S. Chern: “On min­im­al spheres in the four-sphere,” pp. 137–​150 in Stud­ies and es­says. Na­tion­al Taiwan Uni­versity (Taipei), 1970. Presen­ted to Yu-why Chen on his 60th birth­day, April 1, 1970. MR 0278205 Zbl 0212.​26402

[120] incollection S.-S. Chern: “Dif­fer­en­tial geo­metry: Its past and its fu­ture,” pp. 41–​53 in Act­es du Con­grès In­ter­na­tion­al des Math­ématiciens 1970 (Nice, France, 1–10 Septem­ber 1970), vol. 1. Gau­th­i­er-Vil­lars (Par­is), 1971. MR 0428217 Zbl 0232.​53001

[121] incollection S. S. Chern: “Brief sur­vey of min­im­al sub­man­i­folds,” pp. 43–​60 in Dif­fer­en­tial­geo­met­rie im Grossen [Dif­fer­en­tial geo­metry in the large] (Ober­wolfach, Ger­many, 13–19 Ju­ly 1969). Edi­ted by W. Klin­gen­berg. Berichte, Math­em­at­isches Forschungsin­sti­tut Ober­wolfach 4. Bib­li­o­graph­isches In­sti­tut (Man­nheim), 1971. MR 0358634 Zbl 0218.​53070

[122] S.-S. Chern and J. Si­mons: “Some co­homo­logy classes in prin­cip­al fiber bundles and their ap­plic­a­tion to Rieman­ni­an geo­metry,” Proc. Natl. Acad. Sci. U.S.A. 68 : 4 (April 1971), pp. 791–​794. MR 0279732 Zbl 0209.​25401 article

[123] incollection S.-S. Chern: “Dif­fer­en­tial­geo­met­rie und In­teg­ral­geo­met­rie” [Dif­fer­en­tial geo­metry and in­teg­ral geo­metry], pp. 306–​317 in Geo­met­rie. Edi­ted by K. Strubeck­er. Wege der Forschung 177. Wis­senschaft­liche Buchgesell­schaft (Darm­stadt), 1972. In Ger­man. Trans­la­tion from Pro­ceed­ings of the In­ter­na­tion­al Con­gress of Math­em­aticians (1960), pp. 441–449.

[124] incollection S.-S. Chern: “Holo­morph­ic curves in the plane,” pp. 73–​94 in Dif­fer­en­tial geo­metry: In hon­or of Kent­aro Yano. Edi­ted by S. Kobay­ashi, M. Obata, and T. Taka­hashi. Kinok­uniya (Tokyo), 1972. MR 0422693 Zbl 0249.​32016

[125] incollection S.-S. Chern: “Geo­metry of char­ac­ter­ist­ic classes,” pp. 1–​40 in Pro­ceed­ings of the thir­teenth bi­en­ni­al sem­in­ar of the Ca­na­dian Math­em­at­ic­al Con­gress (Dal­housie Uni­versity, Hal­i­fax, NS, 16 Au­gust–3 Septem­ber 1971), vol. 1. Edi­ted by J. R. Van­stone. Ca­na­dian Math­em­at­ic­al Con­gress (Montreal), 1972. A Rus­si­an trans­la­tion was pub­lished in Us­pehi Mat. Nauk 28:3(171) (1973). MR 0370613 Zbl 0269.​57013

[126] book Col­lec­tion of art­icles ded­ic­ated to S. S. Chern and D. C. Spen­cer on their six­tieth birth­days, published as J. Diff. Geom. 6 : 4. Le­high Uni­versity (Beth­le­hem, PA), 1972. MR 0317858

[127] article S.-S. Chern: “The math­em­at­ic­al works of Wil­helm Blasch­ke,” Abh. Math. Sem. Univ. Ham­burg 39 : 1 (1973), pp. 1–​9. See also Ges­am­melte Werke, vol. 5 (1985). MR 0331273 Zbl 0264.​01021

[128] article S. S. Čern: “Geo­metry of char­ac­ter­ist­ic classes,” Us­pehi Mat. Nauk 28 : 3(171) (1973), pp. 121–​160. In Rus­si­an. Trans­la­tion from Pro­ceed­ings of the thir­teenth bi­en­ni­al sem­in­ar of the Ca­na­dian Math­em­at­ic­al Con­gress, vol. 1 (1972), pp. 1–40. MR 0385881 Zbl 0292.​57016

[129] article S. S. Chern: “Mero­morph­ic vec­tor fields and char­ac­ter­ist­ic num­bers,” Scripta Math. 29 : 3–​4 (1973), pp. 243–​251. Spe­cial is­sue ded­ic­ated to the memory of Ab­ra­ham Ad­ri­an Al­bert. MR 0412486 Zbl 0265.​32013

[130] incollection S. S. Chern and M. J. Cowen: “Fren­et frames along holo­morph­ic curves,” pp. 191–​203 in Value dis­tri­bu­tion the­ory (Tu­lane Uni­versity, New Or­leans, 1972–1973), part A. Edi­ted by R. O. Ku­jala and A. L. Vit­ter, III. Mono­graphs and text­books in pure and ap­plied math­em­at­ics 25. Dek­ker (New York), 1974. MR 0361170 Zbl 0287.​53044

[131] article S.-S. Chern and J. K. Moser: “Real hy­per­sur­faces in com­plex man­i­folds,” Acta Math. 133 : 1 (1974), pp. 219–​271. MR 0425155 Zbl 0302.​32015

[132] S.-S. Chern and J. Si­mons: “Char­ac­ter­ist­ic forms and geo­met­ric in­vari­ants,” Ann. Math. (2) 99 : 1 (January 1974), pp. 48–​69. MR 0353327 Zbl 0283.​53036 article

[133] book Dif­fer­en­tial geo­metry (Stan­ford, CA, 30 Ju­ly–17 Au­gust 1973), part 2. Edi­ted by S. S. Chern and R. Os­ser­man. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics XXVII. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1975. MR 0370637 Zbl 0304.​00009

[134] book Dif­fer­en­tial geo­metry (Stan­ford, CA, 30 Ju­ly–17 Au­gust 1973), part 1. Edi­ted by S. S. Chern and R. Os­ser­man. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics XXVII. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1975. MR 0370636

[135] article S.-S. Chern and S. I. Gold­berg: “On the volume de­creas­ing prop­erty of a class of real har­mon­ic map­pings,” Am. J. Math. 97 : 1 (1975), pp. 133–​147. MR 0367860 Zbl 0303.​53049

[136] article S. S. Chern: “On the pro­ject­ive struc­ture of a real hy­per­sur­face in \( C_{n+1} \),” Math. Scand. 36 (1975), pp. 74–​82. Spe­cial volume ded­ic­ated to Wern­er Fenchel on his 70th birth­day. MR 0379910 Zbl 0305.​53019

[137] article S. S. Chern and J. White: “Du­al­ity prop­er­ties of char­ac­ter­ist­ic forms,” In­vent. Math. 35 : 1 (1976), pp. 285–​297. Ded­ic­ated to Jean-Pierre Serre. MR 0431193 Zbl 0343.​53015

[138] article S. S. Chern: “Book re­view: ‘In­teg­ral geo­metry and geo­met­ric prob­ab­il­ity’, by L. San­taló,” Bull. Am. Math. Soc. 83 : 6 (1977), pp. 1289–​1290. MR 1567008

[139] incollection S.-S. Chern: “Circle bundles,” pp. 114–​131 in Geo­metry and to­po­logy: Pro­ceed­ings of the third Lat­in Amer­ic­an school of math­em­at­ics (Rio de Janeiro, Ju­ly 1976). Edi­ted by J. Pal­is and M. P. Do Car­mo. Lec­ture Notes in Math­em­at­ics 597. Spring­er (Ber­lin), 1977. MR 0461353 Zbl 0356.​55005

[140] article S.-S. Chern and P. A. Grif­fiths: “An in­equal­ity for the rank of a web and webs of max­im­um rank,” Ann. Sc. Norm. Su­per. Pisa, Cl. Sci., IV. Ser. 5 : 3 (1978), pp. 539–​557. Ded­ic­ated to Hans Lewy. MR 507000 Zbl 0402.​57001

[141] article S. S. Chern and P. A. Grif­fiths: “Abel’s the­or­em and webs,” Jahresber. Deutsch. Math.-Ver. 80 : 1–​2 (1978), pp. 13–​110. MR 494957 Zbl 0386.​14002

[142] book S.-S. Chern: Se­lec­ted pa­pers, vol. 1. Spring­er (New York), 1978. With a fore­word by Hung Hsi Wu and in­tro­duct­ory art­icles by An­dré Weil and Phil­lip A. Grif­fiths. MR 514211 Zbl 0403.​01012

[143] incollection S.-S. Chern and P. A. Grif­fiths: “Lin­ear­iz­a­tion of webs of codi­men­sion one and max­im­um rank,” pp. 85–​91 in Pro­ceed­ings of the in­ter­na­tion­al sym­posi­um on al­geb­ra­ic geo­metry (Kyoto, 10–14 Janu­ary 1977). Edi­ted by M. Nagata. Kinok­uniya Book Store (Tokyo), 1978. MR 578854 Zbl 0406.​14003

[144] incollection S.-S. Chern: “On pro­ject­ive con­nec­tions and pro­ject­ive re­lativ­ity,” pp. 225–​232 in The Ta-You Wu Fest­s­chrift: Sci­ence of mat­ter. Edi­ted by S. Fujita. Gor­don & Breach (New York), 1978. MR 547033

[145] incollection S.-S. Chern: “Af­fine min­im­al hy­per­sur­faces,” pp. 17–​30 in Min­im­al sub­man­i­folds and geodesics: Pro­ceed­ings of the Ja­pan–United States sem­in­ar (Tokyo, 1977). Edi­ted by M. Obata. North-Hol­land (Am­s­ter­dam), 1979. MR 574250 Zbl 0439.​53008

[146] book S. S. Chern: Com­plex man­i­folds without po­ten­tial the­ory, 2nd edition. Uni­versitext. Spring­er (New York), 1979. With an ap­pendix on the geo­metry of char­ac­ter­ist­ic classes. A re­vised print­ing of this edi­tion ap­peared in 1995. MR 533884 Zbl 0444.​32004

[147] book G. Her­glotz: Ges­am­melte Schriften [Col­lec­ted works]. Edi­ted by H. Schwer­dtfeger. Vand­en­hoeck & Ruprecht (Göt­tin­gen), 1979. With a fore­word by the ed­it­or and in­tro­duct­ory art­icles by Peter Bergmann, S. S. Chern, Ron­ald B. Guen­ther, Claus Müller, Theodor Schneider and H. Wit­tich. MR 526569 Zbl 0402.​01010

[148] article S. S. Chern: “From tri­angles to man­i­folds,” Am. Math. Mon. 86 : 5 (May 1979), pp. 339–​349. MR 528789 Zbl 0425.​53002

[149] incollection S.-S. Chern: “Geo­met­rie,” pp. xx–​xxi in G. Her­glotz: Ges­am­melte Schriften [Col­lec­ted writ­ings]. Edi­ted by H. Schwer­dtfeger. Vand­en­hoeck und Ruprecht (Göt­tin­gen), 1979. In Ger­man.

[150] article S.-S. Chern and C. K. Peng: “Lie groups and KdV equa­tions,” Manuscr. Math. 28 : 1–​3 (1979), pp. 207–​217. MR 535702 Zbl 0408.​35074

[151] article R. Wells: “Chern re­tires from Berke­ley, al­most,” Math. In­tel­li­gen­cer 2 : 2 (1979–1980), pp. 78–​81. In­cludes an after-din­ner speech giv­en by Chern at the in­ter­na­tion­al sym­posi­um held in his hon­or, U.C. Berke­ley, 25–29 June 1979. MR 577556

[152] article W. M. Boothby, S. S. Chern, and S. P. Wang: “The math­em­at­ic­al work of H. C. Wang,” Bull. Inst. Math. Acad. Sin­ica 8 : 2–​3, part 1 (1980), pp. xiii–​xxiv. MR 595525 Zbl 0446.​01026

[153] incollection A. Beau­ville: “Géométrie des tis­sus,” pp. 103–​119 in Sémin­aire Bourbaki, 1978/79. Lec­ture Notes in Math­em­at­ics 770. Spring­er (Ber­lin), 1980. After S. S. Chern and P. A. Grif­fiths. Ex­posé no. 531. In French. MR 572420 Zbl 0436.​57008

[154] incollection S.-S. Chern: “Gen­er­al re­lativ­ity and dif­fer­en­tial geo­metry,” pp. 271–​287 in Some strange­ness in the pro­por­tion: A centen­ni­al sym­posi­um to cel­eb­rate the achieve­ments of Al­bert Ein­stein, 2nd edition. Edi­ted by H. Woolf. Ad­dis­on-Wes­ley (Read­ing, MA), 1980.

[155] incollection S. S. Chern: “Geo­metry and phys­ics,” pp. 1–​5 in Pro­ceed­ings of the math­em­at­ic­al sem­in­ar (Singa­pore, 1980). Edi­ted by K. N. Cheng and C. T. Chong. Na­tion­al Uni­versity of Singa­pore (Singa­pore), 1980. MR 622216

[156] article S.-S. Chern and C. L. Terng: “An ana­logue of Bäcklund’s the­or­em in af­fine geo­metry,” Rocky Moun­tain J. Math. 10 : 1 (1980), pp. 105–​124. MR 573866 Zbl 0407.​53002

[157] book B. Su: Lec­tures on dif­fer­en­tial geo­metry. World Sci­entif­ic (Singa­pore), 1980. With a fore­word by S.-S. Chern. MR 664600 Zbl 0517.​53006

[158] article S.-S. Chern: “Geo­metry and phys­ics,” Math. Med­ley 8 : 1 (1980), pp. 1–​6. MR 604751 Zbl 0455.​53052

[159] article S. S. Chern: “Geo­met­ric­al in­ter­pret­a­tion of the \( \sinh \)-Gor­don equa­tion,” Ann. Po­lon. Math. 39 (1981), pp. 63–​69. MR 617450 Zbl 0497.​53056

[160] article S. S. Chern and C. K. Peng: “On the Bäcklund trans­form­a­tions of KdV equa­tions and mod­i­fied KdV equa­tions,” J. China Univ. Sci. Tech. 11 : 3 (1981), pp. 1–​6. MR 701775

[161] incollection S. S. Chern and R. Os­ser­man: “Re­marks on the Rieman­ni­an met­ric of a min­im­al sub­man­i­fold,” pp. 49–​90 in Geo­metry sym­posi­um (Utrecht, 27–29 Au­gust 1980). Edi­ted by E. Loo­ijenga, D. Siersma, and F. Takens. Lec­ture Notes in Math­em­at­ics 894. Spring­er (Ber­lin), 1981. MR 655419 Zbl 0477.​53056

[162] incollection S.-S. Chern and J. G. Wolf­son: “A simple proof of Frobeni­us the­or­em,” pp. 67–​69 in Man­i­folds and Lie groups: Pa­pers in hon­or of Yozô Mat­sushi­ma. Edi­ted by J.-I. Hano. Pro­gress in Math­em­at­ics 14. Birkhäuser (Bo­ston, MA), 1981. MR 642852 Zbl 0481.​58007

[163] article S. S. Chern and P. Grif­fiths: “Cor­rec­tions and ad­denda: ‘Abel’s the­or­em and webs’,” Jahresber. Deutsch. Math.-Ver­ein. 83 : 2 (1981), pp. 78–​83. MR 612412 Zbl 0474.​14003

[164] article S. S. Chern and K. Ten­en­blat: “Fo­li­ations on a sur­face of con­stant curvature and the mod­i­fied Korteweg–de Vries equa­tions,” J. Dif­fer­en­tial Geom. 16 : 3 (1981), pp. 347–​349. Ded­ic­ated to Pro­fess­or Buchin Su on his 80th birth­day. MR 654630 Zbl 0483.​53019

[165] article S. S. Chern: “Web geo­metry,” Bull. Am. Math. Soc. (N.S.) 6 : 1 (1982), pp. 1–​8. A Chinese trans­la­tion was pub­lished in Adv. Math. 14:4 (1985). See also The math­em­at­ic­al her­it­age of Henri Poin­caré, part 1 (1983), pp. 3–10. MR 634430 Zbl 0483.​53013

[166] article S. S. Chern: “Pro­ject­ive geo­metry, con­tact trans­form­a­tions, and CR-struc­tures,” Arch. Math. (Basel) 38 : 1 (1982), pp. 1–​5. MR 646314 Zbl 0456.​53023

[167] book Pro­ceed­ings of the 1980 Beijing sym­posi­um on dif­fer­en­tial geo­metry and dif­fer­en­tial equa­tions (Beijing, 18 Au­gust–21 Septem­ber 1980), vol. 2. Edi­ted by S. S. Chern and W. T. Wu. Sci­ence Press (Beijing), 1982.

[168] book W. Blasch­ke: Ges­am­melte Werke [Col­lec­ted works], Band 1. Edi­ted by W. Burau, S.-S. Chern, K. Leicht­weiß, H. R. Müller, L. A. San­taló, U. Si­mon, and K. Strubeck­er. Thales-Ver­lag (Es­sen), 1982. With com­ment­ary by K. Strubeck­er and with in­tro­duct­ory ma­ter­i­al by Wal­ter Benz and Emanuel Sper­n­er. MR 741181 Zbl 0541.​01012

[169] book Pro­ceed­ings of the 1980 Beijing sym­posi­um on dif­fer­en­tial geo­metry and dif­fer­en­tial equa­tions (Beijing, 18 Au­gust–21 Septem­ber 1980). Edi­ted by S. S. Chern and W. T. Wu. Sci­ence Press (Beijing), 1982. In 3 volumes. MR 714332 Zbl 0509.​00015

[170] book K. Yano: Se­lec­ted pa­pers of Kent­aro Yano. Edi­ted by M. Obata. North-Hol­land Math­em­at­ics Stud­ies 70. North-Hol­land (Am­s­ter­dam), 1982. With an in­tro­duc­tion by Shi­ing-Shen Chern. MR 676813 Zbl 0492.​01016

[171] incollection R. L. Bry­ant, S.-S. Chern, and P. A. Grif­fiths: “Ex­ter­i­or dif­fer­en­tial sys­tems,” pp. 219–​338 in Pro­ceed­ings of the 1980 Beijing Sym­posi­um on dif­fer­en­tial geo­metry and dif­fer­en­tial equa­tions (Beijing, 18 Au­gust–21 Septem­ber 1980), vol. 1. Edi­ted by S. S. Chern and W. T. Wu. Sci­ence Press (Beijing), 1982. MR 714337 Zbl 0516.​58003

[172] book Pro­ceed­ings of the 1980 Beijing sym­posi­um on dif­fer­en­tial geo­metry and dif­fer­en­tial equa­tions (Beijing, 18 Au­gust–21 Septem­ber 1980), vol. 3. Edi­ted by S. S. Chern and W. T. Wu. Sci­ence Press (Beijing), 1982.

[173] article S.-S. Chern and J. K. Moser: “Er­rat­um: ‘Real hy­per­sur­faces in com­plex man­i­folds’,” Acta Math. 150 : 1 (July 1983), pp. 297. MR 0709144

[174] article S.-S. Chern and J. K. Moser: “Real hy­per­sur­faces in com­plex man­i­folds,” Usp. Mat. Nauk 38 : 2(230) (1983), pp. 149–​193. In Rus­si­an. Trans­la­tion from Acta Math. 133:1 (1974), pp. 219–271. Zbl 0519.​32014

[175] book S.-S. Chern and W.-h. Chen: Dif­fer­en­tial geo­metry notes. Beijing Uni­versity Press, 1983. In Chinese. Eng­lish trans­la­tion pub­lished as Lec­tures on dif­fer­en­tial geo­metry (1999).

[176] article S. S. Chern and J. K. Moser: “Er­rat­um: ‘Real hy­per­sur­faces in com­plex man­i­folds’,” Acta Math. 150 : 1 (1983), pp. 297.

[177] article S. S. Chern and J. G. Wolf­son: “Min­im­al sur­faces by mov­ing frames,” Am. J. Math. 105 : 1 (February 1983), pp. 59–​83. MR 692106 Zbl 0521.​53050

[178] book H. Hopf: Dif­fer­en­tial geo­metry in the large: Sem­in­ar lec­tures (New York Uni­versity, 1946, and Stan­ford Uni­versity, 1956). Lec­ture Notes in Math­em­at­ics 1000. Spring­er (Ber­lin), 1983. Notes taken by Peter Lax and John Gray. With a pre­face by S. S. Chern. A 2nd edi­tion was pub­lished in 1989. MR 707850 Zbl 0526.​53002

[179] article1983 Steele Prizes awar­ded in Al­bany,” No­tices Am. Math. Soc. 30 : 6 (1983), pp. 574–​579. MR 718773

[180] incollection S. S. Chern: “On sur­faces of con­stant mean curvature in a three-di­men­sion­al space of con­stant curvature,” pp. 104–​108 in Geo­met­ric dy­nam­ics (Rio de Janeiro, Ju­ly–Au­gust 1981). Edi­ted by J. Pal­is, Jr. Lec­ture Notes in Math­em­at­ics 1007. Spring­er (Ber­lin), 1983. MR 730266 Zbl 0521.​53006

[181] techreport S.-S. Chern: De­form­a­tion of sur­faces pre­serving prin­cip­al curvatures. Technical report 010-83, Math­em­at­ic­al Sci­ences Re­search In­sti­tute, February 1983. Later pub­lished in Dif­fer­en­tial geo­metry and com­plex ana­lys­is (1985).

[182] incollection S.-S. Chern: “Web geo­metry,” pp. 3–​10 in The math­em­at­ic­al her­it­age of Henri Poin­caré (Bloom­ing­ton, IN 1980), part 1. Edi­ted by F. E. Browder. Pro­ceed­ings of Sym­po­sia in Pure Math­em­at­ics 39. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1983. See also Bull. Am. Math. Soc. 6:1 (1982). Zbl 0519.​53010

[183] book É. Cartan: Œuvres com­plètes. Partie III [Com­plete works. Part III], 2nd edition, vol. 2: Géométrie différen­ti­elle. Divers. Centre Na­tion­al de la Recher­che Sci­en­ti­fique (Par­is), 1984. In French. With bio­graph­ic­al ma­ter­i­al by Shi­ing-Shen Chern, Claude Che­val­ley and J. H. C. White­head. MR 753093

[184] book G. de Rham: Dif­fer­en­ti­able man­i­folds: Forms, cur­rents, har­mon­ic forms. Grundlehren der Math­em­at­ischen Wis­senschaften 266. Spring­er (Ber­lin), 1984. With an in­tro­duc­tion by S. S. Chern. MR 760450 Zbl 0534.​58003

[185] book Sem­in­ar on non­lin­ear par­tial dif­fer­en­tial equa­tions (Berke­ley, CA, 9 May 1983). Edi­ted by S.-S. Chern. MSRI Pub­lic­a­tions 2. Spring­er (New York), 1984. MR 765224 Zbl 0542.​00009

[186] article S. S. Chern and J. Wolf­son: “Har­mon­ic maps of \( S^2 \) in­to a com­plex Grass­mann man­i­fold,” Proc. Nat. Acad. Sci. U.S.A. 82 : 8 (April 1985), pp. 2217–​2219. Part II was pub­lished in Ann. Math. 125:2 (1987). MR 788858 Zbl 0601.​58023

[187] incollection S.-S. Chern: “Mov­ing frames,” pp. 67–​77 in The math­em­at­ic­al her­it­age of Élie Cartan (Ly­ons, France, 25–29 June 1984). As­térisque. 1985. Numéro Hors Série. MR 837194 Zbl 0614.​53038

[188] book W. Blasch­ke: Ges­am­melte Werke, Band 2: Kin­ematik und In­teg­ral­geo­met­rie. Edi­ted by W. Burau, S.-S. Chern, K. Leicht­weiß, H. R. Müller, L. A. San­taló, U. Si­mon, and K. Strubeck­er. Thales-Ver­lag (Es­sen), 1985. With com­ment­ar­ies by Hans Robert Müller and Lu­is A. San­taló and with in­tro­duct­ory ma­ter­i­al by Er­win Kruppa. MR 909486 Zbl 0646.​53002

[189] incollection S.-S. Chern: “Wil­helm Blasch­ke and web geo­metry,” pp. 25–​27 in W. Blasch­ke: Ges­am­melte Werke [Col­lec­ted works], vol. 5: Geo­met­rie der Gewebe. Edi­ted by W. Burau. Thales-Ver­lag (Es­sen), 1985.

[190] incollection S.-S. Chern: “De­form­a­tion of sur­faces pre­serving prin­cip­al curvatures,” pp. 155–​163 in Dif­fer­en­tial geo­metry and com­plex ana­lys­is: A volume ded­ic­ated to Harry Ern­est Rauch. Edi­ted by I. Chavel and H. M. Far­kas. Spring­er (Ber­lin), 1985. Ori­gin­ally pub­lished as MSRI tech­nic­al re­port 010-83 (1983). MR 780041 Zbl 0566.​53002

[191] incollection S.-S. Chern: “The math­em­at­ic­al works of Wil­helm Blasch­ke: An up­date,” pp. 21–​23 in W. Blasch­ke: Ges­am­melte Werke [Col­lec­ted works], vol. 5: Geo­met­rie der Gewebe. Edi­ted by W. Burau. Thales-Ver­lag (Es­sen), 1985. See also Abh. Math. Sem. Univ. Ham­burg 39:1 (1973).

[192] book S. Sa­saki: Se­lec­ted pa­pers. Edi­ted by S.-i. Tachibana. Kinok­uniya (Tokyo), 1985. With a fore­word by Shi­ing-Shen Chern. MR 834384 Zbl 0578.​53001

[193] book W. Blasch­ke: Ges­am­melte Werke [Col­lec­ted works], Band 5: Geo­met­rie der Gewebe. Edi­ted by W. Burau, S.-S. Chern, K. Leicht­weiß, H. R. Müller, L. A. San­taló, U. Si­mon, and K. Strubeck­er. Thales-Ver­lag (Es­sen), 1985. With com­ment­ar­ies in Eng­lish by S. S. Chern and with in­tro­duct­ory ma­ter­i­al by Otto Haupt, Wern­er Burau, En­rico Bompi­ani, Hans Reichardt and I. M. Ya­glom. MR 909489 Zbl 0656.​53003

[194] incollection S. S. Chern and R. S. Hamilton: “On Rieman­ni­an met­rics ad­ap­ted to three-di­men­sion­al con­tact man­i­folds,” pp. 279–​308 in Arbeit­sta­gung Bonn 1984 [Work­shop Bonn 1984] (Max-Planck-In­sti­tut für Math­em­atik, Bonn, 15–24 June 1984). Edi­ted by F. Hirzebruch, J. Schwer­mer, and S. Suter. Lec­ture Notes in Math­em­at­ics 1111. Spring­er (Ber­lin), 1985. With an ap­pendix by Alan Wein­stein. MR 797427 Zbl 0561.​53039

[195] article S. S. Chern: “Web geo­metry,” Adv. Math. (Beijing) 14 : 4 (1985), pp. 301–​307. In Chinese. Trans­la­tion from Bull. Am. Math. Soc. 6:1 (1982). MR 848829 Zbl 0593.​53005

[196] book W. Blasch­ke: Ges­am­melte Werke [Col­lec­ted works], Band 3: Kon­vexgeo­met­rie. Edi­ted by W. Burau, S.-S. Chern, K. Leicht­weiß, H. R. Müller, L. A. San­taló, U. Si­mon, and K. Strubeck­er. Thales-Ver­lag (Es­sen), 1985. With com­ment­ary by Kurt Leicht­weiß and with in­tro­duct­ory ma­ter­i­al by Hans Reichardt. MR 909487 Zbl 0655.​52001

[197] book W. Blasch­ke: Ges­am­melte Werke [Col­lec­ted works], Band 4: Af­fine Dif­fer­en­tial­geo­met­rie. Dif­fer­en­tial­geo­met­rie der Kre­is- und Ku­gel­grup­pen. Edi­ted by W. Burau, S.-S. Chern, K. Leicht­weiß, H. R. Müller, L. A. San­taló, U. Si­mon, and K. Strubeck­er. Thales-Ver­lag (Es­sen), 1985. With com­ment­ar­ies by Wern­er Burau and Udo Si­mon. MR 909488 Zbl 0656.​53002

[198] article S. S. Chern and K. Ten­en­blat: “Pseudo­spher­ic­al sur­faces and evol­u­tion equa­tions,” Stud. Ap­pl. Math. 74 : 1 (1986), pp. 55–​83. MR 827492 Zbl 0605.​35080

[199] incollection S. S. Chern: “On a con­form­al in­vari­ant of three-di­men­sion­al man­i­folds,” pp. 245–​252 in As­pects of math­em­at­ics and its ap­plic­a­tions: Col­lec­tion of pa­pers writ­ten in hon­or of Leo­poldo Nachbin. Edi­ted by J. A. Bar­roso. North-Hol­land Math­em­at­ics Lib­rary 34. North-Hol­land (Am­s­ter­dam), 1986. MR 849555 Zbl 0589.​53011

[200] incollection S.-S. Chern and P. A. Grif­fiths: “Pfaf­fi­an sys­tems in in­vol­u­tion,” pp. 233–​256 in Pro­ceed­ings of the 1982 Changchun sym­posi­um on dif­fer­en­tial geo­metry and dif­fer­en­tial equa­tions (Changchun, China, 23 Au­gust–16 Septem­ber 1982). Edi­ted by S.-S. Chern, R.-H. Wang, and M.-Y. Chi. Sci­ence Press (Beijing), 1986. Zbl 0677.​58005

[201] book W. Blasch­ke: Ges­am­melte Werke [Col­lec­ted works], Band 6: Se­lecta. Edi­ted by W. Burau, S. S. Chern, K. Leicht­weiß, H. R. Müller, L. A. San­taló, U. Si­mon, and K. Strubeck­er. Thales-Ver­lag (Es­sen), 1986. With com­ment­ar­ies by Wal­ter Benz, Karl Strubeck­er, Kurt Leicht­weiß, Wern­er Burau, Helmut Grun­sky and Di­et­rich Kölzow. MR 909490 Zbl 0656.​53004

[202] book Pro­ceed­ings of the 1983 Beijing sym­posi­um on dif­fer­en­tial geo­metry and dif­fer­en­tial equa­tions (Beijing, 29 Au­gust–10 Septem­ber 1983). Edi­ted by S. T. Liao and S.-S. Chern. Sci­ence Press (Beijing), 1986. MR 880868 Zbl 0632.​00008

[203] book Pro­ceed­ings of the 1982 Changchun sym­posi­um on dif­fer­en­tial geo­metry and dif­fer­en­tial equa­tions (Changchun, China, 23 Au­gust–16 Septem­ber 1982). Edi­ted by S.-S. Chern, R.-H. Wang, and M.-y. Chi. Sci­ence Press (Beijing), 1986. Zbl 0646.​00007

[204] article S.-S. Chern and J. G. Wolf­son: “Har­mon­ic maps of the two-sphere in­to a com­plex Grass­mann man­i­fold, II,” Ann. Math. (2) 125 : 2 (March 1987), pp. 301–​335. Part I was pub­lished in Proc. Nat. Acad. Sci. U.S.A. 82:8 (1985). MR 881271 Zbl 0627.​58017

[205] article T. E. Cecil and S.-S. Chern: “Taut­ness and Lie sphere geo­metry,” Math. Ann. 278 : 1–​4 (1987), pp. 381–​399. Ded­ic­ated to Friedrich Hirzebruch on the oc­ca­sion of his six­tieth birth­day. MR 909233 Zbl 0635.​53029

[206] article S. S. Chern: “Book re­view: ‘Pre­scrib­ing the curvature of a Rieman­ni­an man­i­fold’, by J. L. Kazdan,” Bull. Am. Math. Soc. (N.S.) 16 : 1 (1987), pp. 143–​144. MR 1567600

[207] incollection S. S. Chern: “Amer­ic­an dif­fer­en­tial geo­metry: Some per­son­al notes,” pp. 375–​377 in A cen­tury of math­em­at­ics in Amer­ica, part I. Edi­ted by P. Duren, R. A. As­key, and U. C. Merzbach. His­tory of Math­em­at­ics 1. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1988. MR 1003183 Zbl 0695.​01012

[208] book Par­tial dif­fer­en­tial equa­tions (Tianjin, China, 23 June–5 Ju­ly 1986). Edi­ted by S.-S. Chern. Lec­ture Notes in Math­em­at­ics 1306. Spring­er (Ber­lin), 1988. Pro­ceed­ings of the 7th sym­posi­um on dif­fer­en­tial geo­metry and dif­fer­en­tial equa­tions. MR 1032766 Zbl 0631.​00004

[209] misc R. M. Schoen: New de­vel­op­ments in the the­ory of geo­met­ric par­tial dif­fer­en­tial equa­tions, 1988. 60 minute video­cas­sette, Amer­ic­an Math­em­at­ic­al So­ci­ety ICM Series. A plen­ary ad­dress presen­ted at the In­ter­na­tion­al Con­gress of Math­em­aticians, Berke­ley, CA, Au­gust 1986, in­tro­duced by Shi­ing-Shen Chern. MR 1059458

[210] book H. Hopf: Dif­fer­en­tial geo­metry in the large: Sem­in­ar lec­tures (New York Uni­versity, 1946, and Stan­ford Uni­versity, 1956), 2nd edition. Lec­ture Notes in Math­em­at­ics 1000. Spring­er (Ber­lin), 1989. Notes taken by Peter Lax and John W. Gray, with pre­faces by S. S. Chern and K. Voss. MR 1013786 Zbl 0669.​53001

[211] incollection S.-S. Chern: “Vec­tor bundles with a con­nec­tion,” pp. 1–​26 in Glob­al dif­fer­en­tial geo­metry. Edi­ted by S.-S. Chern. MAA Stud­ies in Math­em­at­ics 27. Math­em­at­ic­al As­so­ci­ation of Amer­ica (Wash­ing­ton, DC), 1989. MR 1013808 Zbl 0683.​53026

[212] book S.-S. Chern: Se­lec­ted es­says by S. S. Chern. Sci­ence Press (Beijing), 1989. In Chinese.

[213] incollection T. E. Cecil and S. S. Chern: “Dupin sub­man­i­folds in Lie sphere geo­metry,” pp. 1–​48 in Dif­fer­en­tial geo­metry and to­po­logy (Tianjin, China, 1986–1987). Edi­ted by B. Ji­ang, C.-K. Peng, and Z. Hou. Lec­ture Notes in Math­em­at­ics 1369. Spring­er (Ber­lin), 1989. Pro­ceed­ings of the spe­cial year at Nankai In­sti­tute of Math­em­at­ics. MR 1001178 Zbl 0678.​53003

[214] incollection S.-S. Chern: “Curves and sur­faces in Eu­c­lidean space,” pp. 99–​139 in Glob­al dif­fer­en­tial geo­metry. Edi­ted by S.-S. Chern. MAA Stud­ies in Math­em­at­ics 27. Math­em­at­ic­al As­so­ci­ation of Amer­ica (Wash­ing­ton, DC), 1989. This earli­er ap­peared in Stud­ies in glob­al geo­metry and ana­lys­is (1967). Zbl 0683.​53002

[215] book S. S. Chern: Se­lec­ted pa­pers, vol. IV. Spring­er (New York), 1989. MR 1019829

[216] articleShi­ing Shen Chern,” C. R. Acad. Sci. Par­is, Sér. Gén., Vie Sci. 6 : 6 (1989), pp. 488–​489. In French. MR 1063960

[217] book S. S. Chern: Se­lec­ted pa­pers, vol. II. Spring­er (New York), 1989. MR 1007138 Zbl 0682.​01017

[218] book S. S. Chern: Se­lec­ted pa­pers, vol. III. Spring­er (New York), 1989. MR 1025503

[219] book Glob­al dif­fer­en­tial geo­metry, 2nd edition. Edi­ted by S. S. Chern. MAA Stud­ies in Math­em­at­ics 27. Math­em­at­ic­al As­so­ci­ation of Amer­ica (Wash­ing­ton, DC), 1989. Ori­gin­al was pub­lished as no. 4 in this series, as Stud­ies in glob­al geo­metry and ana­lys­is (1967). MR 1013807 Zbl 0683.​53001

[220] article S.-S. Chern: “What is geo­metry?,” Am. Math. Mon. 97 : 8 (1990), pp. 679–​686. MR 1072811 Zbl 0717.​51002

[221] incollection S.-S. Chern: “His­tor­ic­al re­marks on Gauss–Bon­net,” pp. 209–​217 in Ana­lys­is, et cet­era: Re­search pa­pers in hon­or of J. Moser’s 60th birth­day. Edi­ted by P. H. Ra­binow­itz and E. Zehnder. Aca­dem­ic Press (Bo­ston, MA), 1990. MR 1039345 Zbl 0701.​53039

[222] book Phys­ics and math­em­at­ics of any­ons: Pro­ceed­ings of the TC­SUH work­shop (Hou­s­ton, TX, 1–2 Feb­ru­ary 1991), published as Int. J. Mod. Phys. B 5 : 10. Issue edi­ted by S. S. Chern, C. W. Chu, and C. S. Ting. 1991. MR 1118209

[223] incollection S. S. Chern: “Char­ac­ter­ist­ic classes and char­ac­ter­ist­ic forms,” pp. 169–​177 in Paul Hal­mos: Cel­eb­rat­ing 50 years of math­em­at­ics. Edi­ted by J. H. Ewing and F. W. Gehring. Spring­er (New York), 1991. MR 1113271 Zbl 0853.​57025

[224] article S. S. Chern: “Trans­gres­sion in as­so­ci­ated bundles,” Int. J. Math. 2 : 4 (1991), pp. 383–​393. In memory of Guang-Lei Wu. MR 1113567 Zbl 0768.​53014

[225] incollection S. S. Chern: “An in­tro­duc­tion to Dupin sub­man­i­folds,” pp. 95–​102 in Dif­fer­en­tial geo­metry: A sym­posi­um in hon­our of Man­fredo do Car­mo (Rio de Janeiro, 1988). Edi­ted by H. B. L. Lawson and K. Ten­en­blat. Pit­man Mono­graphs and Sur­veys in Pure and Ap­plied Math­em­at­ics 52. Long­man Sci­entif­ic & Tech­nic­al (Har­low, UK), 1991. MR 1173035 Zbl 0721.​53052

[226] incollection S.-S. Chern: “Sur­face the­ory with Dar­boux and Bi­an­chi,” pp. 59–​69 in Mis­cel­lanea math­em­at­ica. Edi­ted by M. F. Atiyah, P. J. Hilton, F. Hirzebruch, and R. Rem­mert. Spring­er (Ber­lin), 1991. Fest­s­chrift for Heinz Götze. MR 1131117 Zbl 0734.​53008

[227] article X. S. Chen: “How to make China a math­em­at­ic­ally ad­vanced coun­try,” Adv. Math. (China) 20 : 2 (1991), pp. 129–​134. In Chinese. MR 1121551

[228] article J.-P. Bour­guignon: “En­tre­tien avec un op­tim­iste, S. S. Chern” [In­ter­view with an op­tim­ist, S. S. Chern], Gaz. Math. 48 (1991), pp. 5–​10. An Eng­lish trans­la­tion was pub­lished in S. S. Chern: A great geo­met­er of the twen­ti­eth cen­tury (1992). MR 1116889

[229] book R. L. Bry­ant, S. S. Chern, R. B. Gard­ner, H. L. Gold­schmidt, and P. A. Grif­fiths: Ex­ter­i­or dif­fer­en­tial sys­tems. MSRI Pub­lic­a­tions 18. Spring­er (New York), 1991. MR 1083148 Zbl 0726.​58002

[230] incollection S. S. Chern: “Fam­il­ies of hy­per­sur­faces un­der con­tact trans­form­a­tions in \( \mathbb{R}^n \),” pp. 49–​56 in In­ter­na­tion­al sym­posi­um on num­ber the­ory and ana­lys­is in memory of Hua Loo Keng (Beijing, 1–7 Au­gust 1988), vol. II: Ana­lys­is. Edi­ted by S. Gong, Q.-k. Lu, Y. Wang, and L. Yang. Series in pure and ap­plied math­em­at­ics 21. Spring­er (Ber­lin), 1991. MR 1135825 Zbl 0819.​53009

[231]R. Bott: “For the Chern volume,” pp. 106–​108 in S. S. Chern: A great geo­met­er of the twen­ti­eth cen­tury (Los Angeles, 1990). Edi­ted by S.-T. Yau. In­ter­na­tion­al Press (Cam­bridge, MA), 1992. MR 1201350 incollection

[232] incollection I. M. Sing­er: “For Chern volume,” pp. 88–​90 in S. S. Chern: A great geo­met­er of the twen­ti­eth cen­tury. Edi­ted by S.-T. Yau. Mono­graphs in geo­metry and to­po­logy. In­ter­na­tion­al Press (Hong Kong), 1992. MR 1201344