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Celebratio Mathematica

Shōshichi Kobayashi

Bibliography

[1]S. Kobay­ashi: “Des groupes linéaires irréduct­ibles et la géométrie différen­ti­elle,” Proc. Ja­pan Acad. 30 (1954), pp. 934–​936. MR 0071077 Zbl 0058.​16001

[2]S. Kobay­ashi: “Es­paces à con­nex­ion de Cartan com­plets,” Proc. Ja­pan Acad. 30 (1954), pp. 709–​710. MR 0069570 Zbl 0059.​15804

[3]S. Kobay­ashi: “La con­nex­ion des variétés fibrées, I,” C. R. Acad. Sci. Par­is 238 (1954), pp. 318–​319. MR 0060888

[4]S. Kobay­ashi: “La con­nex­ion des variétés fibrées, II,” C. R. Acad. Sci. Par­is 238 (1954), pp. 443–​444. MR 0060889 Zbl 0055.​42102

[5]S. Kobay­ashi: “Groupe de trans­form­a­tions qui lais­sent in­vari­ante une con­nex­ion in­fin­itési­male,” C. R. Acad. Sci. Par­is 238 (1954), pp. 644–​645. MR 0060882 Zbl 0056.​15601

[6]S. Kobay­ashi: “Le groupe des trans­form­a­tions qui lais­sent in­vari­ant le par­allélisme,” pp. 5 in Col­loque de to­po­lo­gie de Stras­bourg, 1954–1955. In­sti­tut de Mathématique, Uni­versité de Stras­bourg., 1955. MR 0088766 Zbl 0068.​36304

[7]S. Kobay­ashi: “Une re­marque sur a con­nex­ion af­fine symétrique,” Proc. Ja­pan Acad. 31 (1955), pp. 14–​15. MR 0070234 Zbl 0068.​36202

[8]S. Kobay­ashi: “A the­or­em on the af­fine trans­form­a­tion group of a Rieman­ni­an man­i­fold,” Nagoya Math. J. 9 (1955), pp. 39–​41. MR 0076395 Zbl 0067.​14501

[9]S. Kobay­ashi: “Es­paces à con­nex­ions af­fines et Rieman­ni­ennes symétriques,” Nagoya Math. J. 9 (1955), pp. 25–​37. MR 0076391 Zbl 0067.​39904

[10]S. Kobay­ashi: “Prin­cip­al fibre bundles with the 1-di­men­sion­al tor­oid­al group,” Tôhoku Math. J. (2) 8 (1956), pp. 29–​45. MR 0080919 Zbl 0075.​32103

[11]S. Kobay­ashi: “Holonomy groups of hy­per­sur­faces,” Nagoya Math. J. 10 (1956), pp. 9–​14. MR 0082139 Zbl 0075.​17502

[12]S. Kobay­ashi: “On con­nec­tions of Cartan,” Canad. J. Math. 8 (1956), pp. 145–​156. MR 0077978

[13]S. Kobay­ashi: “Ca­non­ic­al con­nec­tions and Pon­trja­gin classes,” Nagoya Math. J. 11 (1957), pp. 93–​109. MR 0087168 Zbl 0103.​15204

[14]S. Kobay­ashi: “The­ory of con­nec­tions,” Ann. Mat. Pura Ap­pl. (4) 43 (1957), pp. 119–​194. MR 0096276

[15]S. Kobay­ashi and K. Nom­izu: “On auto­morph­isms of a Kähleri­an struc­ture,” Nagoya Math. J. 11 (1957), pp. 115–​124. MR 0097536 Zbl 0091.​34802

[16]S. Kobay­ashi: “Com­pact ho­mo­gen­eous hy­per­sur­faces,” Trans. Amer. Math. Soc. 88 (1958), pp. 137–​143. MR 0096284 Zbl 0081.​38102

[17]S. Kobay­ashi: “Fixed points of iso­met­ries,” Nagoya Math. J. 13 (1958), pp. 63–​68. MR 0103508 Zbl 0084.​18202

[18]S. Kobay­ashi: “On the auto­morph­ism group of a cer­tain class of al­geb­ra­ic man­i­folds,” Tôhoku Math. J. (2) 11 (1959), pp. 184–​190. MR 0112159 Zbl 0108.​16603

[19]S. Kobay­ashi: “Geo­metry of bounded do­mains,” Trans. Amer. Math. Soc. 92 (1959), pp. 267–​290. MR 0112162 Zbl 0136.​07102

[20]S. Kobay­ashi: “Re­marks on com­plex con­tact man­i­folds,” Proc. Amer. Math. Soc. 10 (1959), pp. 164–​167. MR 0111061 Zbl 0090.​38502

[21]S. Kobay­ashi: “On Berg­man met­ric and holo­morph­ic con­vex­ity,” Sûgaku 11 (1959/1960), pp. 154–​156. MR 0136763

[22]J.-i. Hano and S. Kobay­ashi: “A fiber­ing of a class of ho­mo­gen­eous com­plex man­i­folds,” Trans. Amer. Math. Soc. 94 (1960), pp. 233–​243. MR 0115188 Zbl 0097.​37201

[23]S. Kobay­ashi: “Com­pact Kaehler man­i­folds with pos­it­ive Ricci tensor,” Bull. Amer. Math. Soc. 67 (1961), pp. 412–​413. MR 0130660 Zbl 0109.​40502

[24]S. Kobay­ashi: “Ca­non­ic­al forms on frame bundles of high­er or­der con­tact,” pp. 186–​193 in Proc. Sym­pos. Pure Math, vol. III. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, R.I.), 1961. MR 0126810 Zbl 0109.​40601

[25]S. Kobay­ashi: “On auto­morph­ism groups of ho­mo­gen­eous com­plex man­i­folds,” Proc. Amer. Math. Soc. 12 (1961), pp. 359–​361. MR 0133839 Zbl 0101.​14302

[26]S. Kobay­ashi: “On char­ac­ter­ist­ic classes defined by con­nec­tions,” Tôhoku Math. J. (2) 13 (1961), pp. 381–​385. MR 0138064 Zbl 0111.​18302

[27]S. Kobay­ashi: “Rieman­ni­an man­i­folds without con­jug­ate points,” Ann. Mat. Pura Ap­pl. (4) 53 (1961), pp. 149–​155. MR 0150700 Zbl 0100.​18101

[28]S. Kobay­ashi: “On com­pact Kähler man­i­folds with pos­it­ive def­in­ite Ricci tensor,” Ann. of Math. (2) 74 (1961), pp. 570–​574. MR 0133086 Zbl 0107.​16002

[29]S. Kobay­ashi: “On com­plete Berg­man met­rics,” Proc. Amer. Math. Soc. 13 (1962), pp. 511–​513. MR 0141795 Zbl 0114.​04001

[30]S. Kobay­ashi: “Ho­mo­gen­eous Rieman­ni­an man­i­folds of neg­at­ive curvature,” Tôhoku Math. J. (2) 14 (1962), pp. 413–​415. MR 0148015 Zbl 0107.​39001

[31]S. Kobay­ashi: “Ho­mo­gen­eous Rieman­ni­an man­i­folds of neg­at­ive curvature,” Bull. Amer. Math. Soc. 68 (1962), pp. 338–​339. MR 0141055 Zbl 0124.​37401

[32]S. I. Gold­berg and S. Kobay­ashi: “The con­form­al trans­form­a­tion group of a com­pact Rieman­ni­an man­i­fold,” Amer. J. Math. 84 (1962), pp. 170–​174. MR 0140057 Zbl 0196.​54602

[33]S. I. Gold­berg and S. Kobay­ashi: “The con­form­al trans­form­a­tion group of a com­pact ho­mo­gen­eous Rieman­ni­an man­i­fold,” Bull. Amer. Math. Soc. 68 (1962), pp. 378–​381. MR 0140058 Zbl 0196.​54603

[34]S. I. Gold­berg and S. Kobay­ashi: “The con­form­al trans­form­a­tion group of a com­pact Rieman­ni­an man­i­fold,” Proc. Nat. Acad. Sci. U.S.A. 48 (1962), pp. 25–​26. MR 0137078 Zbl 0113.​36902

[35]W. M. Boothby, S. Kobay­ashi, and H. C. Wang: “A note on map­pings and auto­morph­isms of al­most com­plex man­i­folds,” Ann. of Math. (2) 77 (1963), pp. 329–​334. MR 0146764 Zbl 0146.​43901

[36]S. Kobay­ashi and K. Nom­izu: Found­a­tions of dif­fer­en­tial geo­metry, vol. I. In­ter­science Pub­lish­ers/John Wiley & Sons (New York-Lon­don), 1963. MR 0152974

[37]S. Kobay­ashi: “To­po­logy of pos­it­ively pinched Kaehler man­i­folds,” Tôhoku Math. J. (2) 15 (1963), pp. 121–​139. MR 0154235 Zbl 0114.​37601

[38]H. Chu and S. Kobay­ashi: “The auto­morph­ism group of a geo­met­ric struc­ture,” Trans. Amer. Math. Soc. 113 (1964), pp. 141–​150. MR 0164299 Zbl 0131.​19704

[39]S. Kobay­ashi and T. Nagano: “On pro­ject­ive con­nec­tions,” J. Math. Mech. 13 (1964), pp. 215–​235. MR 0159284 Zbl 0117.​39101

[40]S. Kobay­ashi and T. Nagano: “A the­or­em on filtered Lie al­geb­ras and its ap­plic­a­tions,” Bull. Amer. Math. Soc. 70 (1964), pp. 401–​403. MR 0162892 Zbl 0125.​28903

[41]S. Kobay­ashi and T. Nagano: “On filtered Lie al­geb­ras and geo­met­ric struc­tures, I,” J. Math. Mech. 13 (1964), pp. 875–​907. MR 0168704 Zbl 0142.​19504

[42]S. Kobay­ashi and T. Nagano: “On a fun­da­ment­al the­or­em of Weyl–Cartan on \( G \)-struc­tures,” J. Math. Soc. Ja­pan 17 (1965), pp. 84–​101. MR 0192438 Zbl 0136.​17805

[43]S. Kobay­ashi and T. Nagano: “On filtered Lie al­geb­ras and geo­met­ric struc­tures, II,” J. Math. Mech. 14 (1965), pp. 513–​521. MR 0185042

[44]S. Kobay­ashi and T. Nagano: “On filtered Lie al­geb­ras and geo­met­ric struc­tures, III,” J. Math. Mech. 14 (1965), pp. 679–​706. MR 0188364

[45]S. Kobay­ashi and T. Nagano: “On filtered Lie al­geb­ras and geo­met­ric struc­tures, IV,” J. Math. Mech. 15 (1966), pp. 163–​175. MR 0195993

[46]K. Yano and S. Kobay­ashi: “Pro­long­a­tions of tensor fields and con­nec­tions to tan­gent bundles, II: In­fin­ites­im­al auto­morph­isms,” J. Math. Soc. Ja­pan 18 (1966), pp. 236–​246. MR 0200857

[47]S. Kobay­ashi and T. Nagano: “On filtered Lie al­geb­ras and geo­met­ric struc­tures, V,” J. Math. Mech. 15 (1966), pp. 315–​328. MR 0195994 Zbl 0163.​28103

[48]S. Kobay­ashi and T. Nagano: “A re­port on filtered Lie al­geb­ras,” pp. 63–​70 in Proc. U.S.-Ja­pan sem­in­ar in dif­fer­en­tial geo­metry (Kyoto, 1965). Nip­pon Hy­oron­sha, Tokyo, 1966. MR 0215887 Zbl 0196.​30805

[49]K. Yano and S. Kobay­ashi: “Pro­long­a­tions of tensor fields and con­nec­tions to tan­gent bundles, I: Gen­er­al the­ory,” J. Math. Soc. Ja­pan 18 (1966), pp. 194–​210. MR 0193596

[50]S. Kobay­ashi: “Dis­tance, holo­morph­ic map­pings and the Schwarz lemma,” J. Math. Soc. Ja­pan 19 (1967), pp. 481–​485. MR 0218621 Zbl 0158.​33202

[51]S. Kobay­ashi: “On con­jug­ate and cut loci,” pp. 96–​122 in Stud­ies in glob­al geo­metry and ana­lys­is. Math. As­soc. Amer./Pren­tice-Hall, 1967. MR 0212737

[52]S. Kobay­ashi: “Im­bed­dings of ho­mo­gen­eous spaces with min­im­um total curvature,” Tôhoku Math. J. (2) 19 (1967), pp. 63–​70. MR 0212726 Zbl 0149.​18602

[53]S. I. Gold­berg and S. Kobay­ashi: “Holo­morph­ic bi­sec­tion­al curvature,” J. Dif­fer­en­tial Geo­metry 1 (1967), pp. 225–​233. MR 0227901 Zbl 0169.​53202

[54]S. Kobay­ashi: “Hy­per­sur­faces of com­plex pro­ject­ive space with con­stant scal­ar curvature,” J. Dif­fer­en­tial Geo­metry 1 (1967), pp. 369–​370. MR 0229183 Zbl 0157.​28501

[55]S. Kobay­ashi: “In­vari­ant dis­tances on com­plex man­i­folds and holo­morph­ic map­pings,” J. Math. Soc. Ja­pan 19 (1967), pp. 460–​480. MR 0232411 Zbl 0158.​33201

[56]K. Yano and S. Kobay­ashi: “Pro­long­a­tions of tensor fields and con­nec­tions to tan­gent bundles, III: Holonomy groups,” J. Math. Soc. Ja­pan 19 (1967), pp. 486–​488. MR 0219001

[57]S. Kobay­ashi: “In­trins­ic met­rics on com­plex man­i­folds,” Bull. Amer. Math. Soc. 73 (1967), pp. 347–​349. MR 0210152 Zbl 0158.​33104

[58]S. Kobay­ashi: “Ir­re­du­cib­il­ity of cer­tain unit­ary rep­res­ent­a­tions,” J. Math. Soc. Ja­pan 20 (1968), pp. 638–​642. MR 0231413 Zbl 0165.​40504

[59]M. Takeu­chi and S. Kobay­ashi: “Min­im­al im­bed­dings of \( R \)-spaces,” J. Dif­fer­en­tial Geo­metry 2 (1968), pp. 203–​215. MR 0239007 Zbl 0165.​24901

[60]S. Kobay­ashi: “Iso­met­ric im­bed­dings of com­pact sym­met­ric spaces,” Tôhoku Math. J. (2) 20 (1968), pp. 21–​25. MR 0227895 Zbl 0175.​48301

[61]S. Kobay­ashi: “Volume ele­ments, holo­morph­ic map­pings and Schwarz’s lemma,” pp. 253–​260 in En­tire func­tions and re­lated parts of ana­lys­is (La­Jolla, CA, 1966). Amer. Math. Soc. (Provid­ence, R.I.), 1968. MR 0237819 Zbl 0184.​31301

[62]S. Kobay­ashi and K. Nom­izu: Found­a­tions of dif­fer­en­tial geo­metry, vol. II. In­ter­science Tracts in Pure and Ap­plied Math­em­at­ics 15. In­ter­science Pub­lish­ers John Wiley & Sons (New York-Lon­don-Sydney), 1969. MR 0238225 Zbl 0175.​48504

[63] 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

[64]S. Kobay­ashi: Hy­per­bol­ic man­i­folds and holo­morph­ic map­pings. Pure and Ap­plied Math­em­at­ics 2. Mar­cel Dek­ker (New York), 1970. MR 0277770 Zbl 0207.​37902

[65]S. Kobay­ashi and T. Ochi­ai: “On com­plex man­i­folds with pos­it­ive tan­gent bundles,” J. Math. Soc. Ja­pan 22 (1970), pp. 499–​525. MR 0275477 Zbl 0197.​36003

[66]S. Kobay­ashi and H.-H. Wu: “On holo­morph­ic sec­tions of cer­tain her­mitian vec­tor bundles,” Math. Ann. 189 (1970), pp. 1–​4. MR 0270392 Zbl 0189.​52201

[67]S. Kobay­ashi and T. Ochi­ai: “Satake com­pac­ti­fic­a­tion and the great Pi­card the­or­em,” J. Math. Soc. Ja­pan 23 (1971), pp. 340–​350. MR 0296357 Zbl 0212.​42702

[68]S. Kobay­ashi: “In­vari­ante Dis­tan­zen auf Kom­plex­en Räumen,” pp. 231–​234 in Dif­fer­en­tial­geo­met­rie im großen (Ober­wolfach, 1969). Ber. Math. Forschungsinst. Ober­wolfach 4. Bib­li­o­graph­isches Inst. (Man­nheim), 1971. MR 0355116 Zbl 0231.​32010

[69]S. Kobay­ashi: “Pseudo-dis­tances in­trinsèques sur les es­paces com­plexes,” pp. 181–​185 in Act­es du Con­grès In­ter­na­tion­al des Mathématiciens (Nice, 1970), Tome 2. Gau­th­i­er-Vil­lars (Par­is), 1971. MR 0419844

[70]S. Kobay­ashi and T. Ochi­ai: “Map­pings in­to com­pact man­i­folds with neg­at­ive first Chern class,” J. Math. Soc. Ja­pan 23 (1971), pp. 137–​148. MR 0288316 Zbl 0203.​39101

[71]S. Kobay­ashi and T. Ochi­ai: “\( G \)-struc­tures of or­der two and trans­gres­sion op­er­at­ors,” J. Dif­fer­en­tial Geo­metry 6 (1971/72), pp. 213–​230. MR 0301667

[72]S. Kobay­ashi and T. Ochi­ai: “Com­pact ho­mo­gen­eous com­plex man­i­folds with pos­it­ive tan­gent bundle,” pp. 221–​232 in Dif­fer­en­tial geo­metry: In hon­or of Kent­aro Yano. Kinok­uniya (Tokyo), 1972. MR 0324080 Zbl 0249.​32005

[73]S. Kobay­ashi and T. Nagano: “Rieman­ni­an man­i­folds with abund­ant iso­met­ries,” pp. 195–​219 in Dif­fer­en­tial geo­metry: In hon­or of Kent­aro Yano. Kinok­uniya (Tokyo), 1972. MR 0358623 Zbl 0251.​53036

[74]P. Kiernan and S. Kobay­ashi: “Satake com­pac­ti­fic­a­tion and ex­ten­sion of holo­morph­ic map­pings,” In­vent. Math. 16 (1972), pp. 237–​248. MR 0310297 Zbl 0234.​32020

[75]S. Kobay­ashi: “Schwarz lemma,” pp. 247–​254 in Sym­met­ric spaces (Wash­ing­ton Univ., St. Louis, MO, 1969–1970). Pure and Ap­pl. Math. 8. Dek­ker (New York), 1972. MR 0402126 Zbl 0234.​32016

[76]S. Kobay­ashi: Trans­form­a­tion groups in dif­fer­en­tial geo­metry. Ergeb­n­isse der Math­em­atik und ihr­er Gren­zge­bi­ete 70. Spring­er (New York), 1972. MR 0355886 Zbl 0246.​53031

[77]S. Kobay­ashi and T. Ochi­ai: “Three-di­men­sion­al com­pact Kähler man­i­folds with pos­it­ive holo­morph­ic bi­sec­tion­al curvature,” J. Math. Soc. Ja­pan 24 (1972), pp. 465–​480. MR 0309035

[78]Dif­fer­en­tial geo­metry (in hon­or of Kent­aro Yano). Edi­ted by M. Obata and S. Kobay­ashi. Kinok­uniya Book-Store Co. Ltd. (Tokyo), 1972. MR 0324589

[79]S. Kobay­ashi and T. Ochi­ai: “Char­ac­ter­iz­a­tions of com­plex pro­ject­ive spaces and hy­per­quad­rics,” J. Math. Kyoto Univ. 13 (1973), pp. 31–​47. MR 0316745 Zbl 0261.​32013

[80]S. Kobay­ashi: “Some re­marks and ques­tions con­cern­ing the in­trins­ic dis­tance,” Tôhoku Math. J. (2) 25 (1973), pp. 481–​486. MR 0330519 Zbl 0281.​32017

[81]S. Kobay­ashi and P. Kiernan: “Holo­morph­ic map­pings in­to pro­ject­ive space with la­cun­ary hy­per­planes,” Nagoya Math. J. 50 (1973), pp. 199–​216. MR 0326007 Zbl 0262.​32010

[82]S. Kobay­ashi: “Some prob­lems on in­trins­ic dis­tances and meas­ures,” pp. 306–​317 in Pro­ceed­ings of the C. Carathéodory in­ter­na­tion­al sym­posi­um (Athens, 1973). Greek Math. Soc. (Athens), 1974. MR 0481123 Zbl 0355.​32023

[83]S. Kobay­ashi: “Neg­at­ive vec­tor bundles and com­plex Finsler struc­tures,” Nagoya Math. J. 57 (1975), pp. 153–​166. MR 0377126 Zbl 0326.​32016

[84]S. Kobay­ashi: “On hy­per­bol­ic com­plex spaces and ex­ten­sion prob­lems,” pp. 333–​341 in Man­i­folds — Tokyo 1973. Univ. Tokyo Press (Tokyo), 1975. MR 0387663 Zbl 0312.​32015

[85]S. Kobay­ashi and T. Ochi­ai: “Mero­morph­ic map­pings onto com­pact com­plex spaces of gen­er­al type,” In­vent. Math. 31 : 1 (1975), pp. 7–​16. MR 0402127 Zbl 0331.​32020

[86]P. Kiernan and S. Kobay­ashi: “Com­ments on Satake com­pac­ti­fic­a­tion and Pi­card the­or­em,” J. Math. Soc. Ja­pan 28 : 3 (1976), pp. 577–​580. MR 0460729 Zbl 0334.​32026

[87]S. Kobay­ashi: “In­trins­ic dis­tances, meas­ures and geo­met­ric func­tion the­ory,” Bull. Amer. Math. Soc. 82 : 3 (1976), pp. 357–​416. MR 0414940 Zbl 0346.​32031

[88]G. Avérous and S. Kobay­ashi: “On auto­morph­isms of spaces of non­posit­ive curvature with fi­nite volume,” pp. 19–​26 in Dif­fer­en­tial geo­metry and re­lativ­ity. Math­em­at­ic­al Phys. and Ap­pl. Math. 3. Re­idel (Dordrecht), 1976. MR 0442854 Zbl 0366.​53025

[89]S. Kobay­ashi: “In­trins­ic dis­tances as­so­ci­ated with flat af­fine or pro­ject­ive struc­tures,” J. Fac. Sci. Univ. Tokyo Sect. IA Math. 24 : 1 (1977), pp. 129–​135. MR 0445016 Zbl 0367.​53002

[90]S. Kobay­ashi: “Com­plex man­i­folds with non­posit­ive holo­morph­ic sec­tion­al curvature and hy­per­bol­i­city,” Tôhoku Math. J. (2) 30 : 3 (1978), pp. 487–​489. MR 509029 Zbl 0418.​32019

[91]S. Kobay­ashi and T. Sa­saki: “Pro­ject­ive struc­tures with trivi­al in­trins­ic pseudodistance,” pp. 93–​99 in Min­im­al sub­man­i­folds and geodesics (Tokyo, 1977). North-Hol­land (Am­s­ter­dam), 1979. MR 574257

[92]S. Kobay­ashi: “Pro­ject­ive in­vari­ant met­rics for Ein­stein spaces,” Nagoya Math. J. 73 (1979), pp. 171–​174. MR 524014 Zbl 0413.​53030

[93]S. Kobay­ashi: “Pro­ject­ive struc­tures of hy­per­bol­ic type,” pp. 85–​92 in Min­im­al sub­man­i­folds and geodesics (Tokyo, 1977). North-Hol­land (Am­s­ter­dam), 1979. MR 574256 Zbl 0434.​53040

[94] The Chern sym­posi­um 1979: Pro­ceed­ings of the in­ter­na­tion­al sym­posi­um on dif­fer­en­tial geo­metry in hon­or of S.-S. Chern (Berke­ley, CA, June 1979). Edi­ted by W.-Y. Hsiang, S. Kobay­ashi, I. M. Sing­er, A. Wein­stein, J. Wolf, and H.-H. Wu. Spring­er (New York), 1980. MR 609553 Zbl 0443.​00012 book

[95]M. Inoue, S. Kobay­ashi, and T. Ochi­ai: “Holo­morph­ic af­fine con­nec­tions on com­pact com­plex sur­faces,” J. Fac. Sci. Univ. Tokyo Sect. IA Math. 27 : 2 (1980), pp. 247–​264. MR 586449 Zbl 0467.​32014

[96]S. Kobay­ashi and T. Ochi­ai: “Holo­morph­ic pro­ject­ive struc­tures on com­pact com­plex sur­faces,” Math. Ann. 249 : 1 (1980), pp. 75–​94. MR 575449 Zbl 0412.​32026

[97]S. Kobay­ashi: “First Chern class and holo­morph­ic tensor fields,” Nagoya Math. J. 77 (1980), pp. 5–​11. MR 556302 Zbl 0432.​53049

[98]S. Kobay­ashi: “The first Chern class and holo­morph­ic sym­met­ric tensor fields,” J. Math. Soc. Ja­pan 32 : 2 (1980), pp. 325–​329. MR 567422 Zbl 0447.​53055

[99]S. Kobay­asi and K. Nom­idzu: Os­novy dif­fer­ent­si­al­noi geo­met­rii, Tom I. “Nauka” (Mo­scow), 1981. With an ap­pendix “Meth­ods of nonas­so­ci­at­ive geo­metry” by L. V. Sabin­in. MR 628734

[100]S. Kobay­ashi: “On holo­morph­ic con­nec­tions,” pp. 154–​164 in Glob­al dif­fer­en­tial geo­metry and glob­al ana­lys­is (Ber­lin, 1979). Lec­ture Notes in Math. 838. Spring­er (Ber­lin), 1981. MR 636277 Zbl 0437.​53015

[101]S. Kobay­ashi: “Re­cent res­ults in com­plex dif­fer­en­tial geo­metry,” Jahresber. Deutsch. Math.-Ver­ein. 83 : 4 (1981), pp. 147–​158. MR 635391 Zbl 0467.​53030

[102]S. Kobay­asi and K. Nom­idzu: Os­novy dif­fer­ent­si­al­noi geo­met­rii, Tom II. “Nauka” (Mo­scow), 1981. MR 643797

[103]S. Kobay­ashi and T. Ochi­ai: “Holo­morph­ic pro­ject­ive struc­tures on com­pact com­plex sur­faces, II,” Math. Ann. 255 : 4 (1981), pp. 519–​521. MR 618182 Zbl 0439.​32011

[104]S. Kobay­ashi and T. Ochi­ai: “Holo­morph­ic struc­tures modeled after com­pact Her­mitian sym­met­ric spaces,” pp. 207–​222 in Man­i­folds and Lie groups (Notre Dame, IN, 1980). Pro­gr. Math. 14. Birkhäuser (Mass.), 1981. MR 642859 Zbl 0498.​53038

[105]S. Kobay­ashi: “Pro­ject­ive struc­tures and in­vari­ant dis­tances,” Sûgaku 34 : 3 (1982), pp. 211–​221. MR 692908

[106]S. Kobay­ashi: “In­vari­ant dis­tances for pro­ject­ive struc­tures,” pp. 153–​161 in Sym­po­sia math­em­at­ica (Rome, 1980), vol. XXVI. Aca­dem­ic Press (Lon­don), 1982. MR 663030 Zbl 0482.​51015

[107]S. Kobay­ashi: “Curvature and sta­bil­ity of vec­tor bundles,” Proc. Ja­pan Acad. Ser. A Math. Sci. 58 : 4 (1982), pp. 158–​162. MR 664562

[108]S. Kobay­ashi and T. Ochi­ai: “Holo­morph­ic struc­tures modeled after hy­per­quad­rics,” Tôhoku Math. J. (2) 34 : 4 (1982), pp. 587–​629. MR 685426 Zbl 0508.​32007

[109]S. Kobay­ashi: “The work of Shing Tung Yau,” Sūgaku 35 : 2 (1983), pp. 121–​127. MR 732434

[110]S. Kobay­ashi and C. Horst: “Top­ics in com­plex dif­fer­en­tial geo­metry,” pp. 4–​66 in Com­plex dif­fer­en­tial geo­metry. DMV Sem. 3. Birkhäuser (Basel), 1983. MR 826252

[111]S. Kobay­ashi: Set­su­zoku no ri­ron ny­u­mon. Sem­in­ar on Math­em­at­ic­al Sci­ences 8. Keio Uni­versity De­part­ment of Math­em­at­ics (Yoko­hama), 1984. MR 856760

[112]S. Kobay­ashi: “Holo­morph­ic pro­ject­ive struc­tures and in­vari­ant dis­tances,” pp. 67–​71 in Sev­er­al com­plex vari­ables (Hang­zhou, 1981). Birkhäuser (Bo­ston, MA), 1984. MR 897583 Zbl 0582.​32029

[113]S. Kobay­ashi: “Pro­ject­ively in­vari­ant dis­tances for af­fine and pro­ject­ive struc­tures,” pp. 127–​152 in Dif­fer­en­tial geo­metry (Warsaw, 1979). Banach Cen­ter Publ. 12. PWN (Warsaw), 1984. MR 961077 Zbl 0558.​53019

[114]S. Kobay­ashi: “Ein­stein–Her­mitian vec­tor bundles and sta­bil­ity,” pp. 60–​64 in Glob­al Rieman­ni­an geo­metry (Durham, 1983). El­lis Hor­wood Ser. Math. Ap­pl. Hor­wood (Chichester), 1984. MR 757206 Zbl 0615.​53056

[115]S. Kobay­ashi: “The math­em­at­ic­al work of Y. Mat­sushi­ma and its de­vel­op­ment,” Osaka J. Math. 21 : 1 (1984), pp. iii–​xix. MR 736964

[116]S. Kobay­asi: Gruppy preo­brazovanii v dif­fer­ent­si­al­noi geo­met­rii. “Nauka” (Mo­scow), 1986. MR 854470

[117]S. Kobay­ashi: “On two con­cepts of sta­bil­ity for vec­tor bundles and sheaves,” pp. 477–​484 in As­pects of math­em­at­ics and its ap­plic­a­tions. North-Hol­land Math. Lib­rary 34. North-Hol­land (Am­s­ter­dam), 1986. MR 849573 Zbl 0604.​14009

[118]S. Kobay­ashi: “Simple vec­tor bundles over sym­plect­ic Kähler man­i­folds,” Proc. Ja­pan Acad. Ser. A Math. Sci. 62 : 1 (1986), pp. 21–​24. MR 839798 Zbl 0602.​53044

[119]S. Kobay­ashi, Y. Ohnita, and M. Takeu­chi: “On in­stabil­ity of Yang–Mills con­nec­tions,” Math. Z. 193 : 2 (1986), pp. 165–​189. MR 856147 Zbl 0634.​53022

[120]S. Kobay­ashi: “Ho­mo­gen­eous vec­tor bundles and sta­bil­ity,” Nagoya Math. J. 101 (1986), pp. 37–​54. MR 828916 Zbl 0585.​32031

[121]S. Kobay­ashi: Dif­fer­en­tial geo­metry of com­plex vec­tor bundles. Kanô Me­mori­al Lec­tures 5. Prin­ceton Uni­versity Press, 1987. MR 909698 Zbl 0708.​53002

[122]S. Kobay­ashi: “Sub­mer­sions of CR sub­man­i­folds,” To­hoku Math. J. (2) 39 : 1 (1987), pp. 95–​100. MR 876456 Zbl 0619.​58004

[123]S. Kobay­ashi: “How to write a math­em­at­ic­al pa­per (in Eng­lish),” Sūgaku 39 : 4 (1987), pp. 348–​354. MR 939293

[124]S. Kobay­ashi: “Man­i­folds over func­tion al­geb­ras and map­ping spaces,” To­hoku Math. J. (2) 41 : 2 (1989), pp. 263–​282. MR 996015 Zbl 0714.​58006

[125]T. Nagano: “Work of Shoshi­chi Kobay­ashi,” Sūgaku 41 : 1 (1989), pp. 64–​75. MR 994402 Zbl 0694.​53003

[126]S. Kobay­ashi: “On mod­uli of vec­tor bundles,” pp. 45–​57 in Com­plex geo­metry and ana­lys­is (Pisa, 1988). Lec­ture Notes in Math. 1422. Spring­er (Ber­lin), 1990. MR 1055842 Zbl 0718.​32020

[127]S. Kobay­ashi: “A new in­vari­ant in­fin­ites­im­al met­ric,” In­ter­nat. J. Math. 1 : 1 (1990), pp. 83–​90. MR 1044661 Zbl 0702.​32021

[128]S. Kobay­ashi: “The­or­em of Buse­mann–May­er on Finsler met­rics,” Hokkaido Math. J. 20 : 2 (1991), pp. 205–​211. MR 1114403 Zbl 0737.​53024

[129]Y. Mat­sushi­ma: Col­lec­ted pa­pers of Yozô Mat­sushi­ma. Series in Pure Math­em­at­ics 15. World Sci­entif­ic Pub­lish­ing Co. (River Edge, NJ), 1992. With a bio­graphy of Mat­sushi­ma by Shingo Murakami. With an in­tro­duc­tion by Shoshi­chi Kobay­ashi. MR 1169467 Zbl 0758.​01018

[130]S. Kobay­ashi: “Re­l­at­ive in­trins­ic dis­tance and hy­per­bol­ic im­bed­ding,” pp. 239–​242 in In­ter­na­tion­al sym­posi­um “Holo­morph­ic map­pings, di­o­phant­ine geo­metry and re­lated top­ics” (Kyoto, 1992), published as Sūrikais­ekiken­kyūsho Kōkyūroku 819 (1993). MR 1247081

[131]S. Kobay­ashi: “On first ei­gen­val­ues of the Lapla­cian,” pp. 101–​107 in Geo­metry and its ap­plic­a­tions (Yoko­hama, 1991). World Sci. Publ., 1993. MR 1343264 Zbl 1009.​58020

[132]S. Kobay­ashi: “Some prob­lems in hy­per­bol­ic com­plex ana­lys­is,” pp. 113–​120 in Com­plex geo­metry (Osaka, 1990). Lec­ture Notes in Pure and Ap­pl. Math. 143. Dek­ker (New York), 1993. MR 1201605 Zbl 0795.​32010

[133]In­ter­na­tion­al sym­posi­um “Holo­morph­ic map­pings, di­o­phant­ine geo­metry and re­lated top­ics”: Pa­pers from the sym­posi­um held in hon­or of Pro­fess­or Shoshi­chi Kobay­ashi (Re­search In­sti­tute for Math­em­at­ic­al Sci­ences, Kyoto Uni­versity, Kyoto, Oc­to­ber 26–30, 1992), published as Sūrikais­ekiken­kyūsho Kōkyūroku 819. Kyoto Uni­versity Re­search In­sti­tute for Math­em­at­ic­al Sci­ences (Kyoto), 1993. MR 1247062

[134]Geo­metry and ana­lys­is on com­plex man­i­folds. Edi­ted by T. Mabu­chi, J. Nogu­chi, and T. Ochi­ai. World Sci­entif­ic Pub­lish­ing Co. (River Edge, NJ), 1994. Fest­s­chrift for Pro­fess­or S. Kobay­ashi’s 60th birth­day. MR 1463960

[135]S. Kobay­ashi: Trans­form­a­tion groups in dif­fer­en­tial geo­metry. Clas­sics in Math­em­at­ics. Spring­er (Ber­lin), 1995. Re­print of the 1972 edi­tion. MR 1336823 Zbl 0829.​53023

[136]S. Kobay­ashi and E. Shinoza­ki: “Con­jug­ate con­nec­tions in prin­cip­al bundles,” pp. 143–​148 in Geo­metry and to­po­logy of sub­man­i­folds, VII (Leuven/Brus­sels, 1994). World Sci. Publ., 1995. MR 1434506

[137]S. Kobay­ashi: “Com­plex Finsler vec­tor bundles,” pp. 145–​153 in Finsler geo­metry (Seattle, WA, 1995). Con­temp. Math. 196. Amer. Math. Soc. (Provid­ence, RI), 1996. MR 1403586 Zbl 0861.​53019

[138]S. Kobay­ashi: “A new re­l­at­ive in­vari­ant dis­tance and ap­plic­a­tions,” pp. 261–​266 in Man­i­folds and geo­metry (Pisa, 1993). Sym­pos. Math., XXXVI. Cam­bridge Univ. Press, 1996. MR 1410075 Zbl 0868.​32031

[139]S. Kobay­ashi: “On the in­trins­ic re­l­at­ive dis­tance,” pp. 355–​361 in Geo­met­ric com­plex ana­lys­is (Hayama, 1995). World Sci. Publ., 1996. MR 1453616 Zbl 0932.​32020

[140]S. Kobay­ashi and K. Nom­izu: Found­a­tions of dif­fer­en­tial geo­metry, vol. II. Wiley Clas­sics Lib­rary. John Wiley & Sons (New York), 1996. Re­print of the 1969 ori­gin­al. MR 1393941

[141]S. Kobay­ashi and K. Nom­izu: Found­a­tions of dif­fer­en­tial geo­metry, vol. I. Wiley Clas­sics Lib­rary. John Wiley & Sons (New York), 1996. Re­print of the 1963 ori­gin­al. MR 1393940

[142]S. Kobay­ashi: “Dif­fer­en­tial geo­metry in Ja­pan in the 1940’s and 1950’s,” Sūgaku 49 : 3 (1997), pp. 225–​234. MR 1613446

[143]S. Kobay­ashi and E. Shinoza­ki: “Con­jug­ate con­nec­tions and mod­uli spaces of con­nec­tions,” Tokyo J. Math. 20 : 1 (1997), pp. 67–​72. MR 1451860 Zbl 0893.​53008

[144]S. Kobay­ashi: “On vari­ous geo­met­ric struc­tures,” Sūgaku 49 : 1 (1997), pp. 100–​103. MR 1478157 Zbl 0938.​53002

[145]S. Kobay­ashi: Hy­per­bol­ic com­plex spaces. Grundlehren der Math­em­at­ischen Wis­senschaften [Fun­da­ment­al Prin­ciples of Math­em­at­ic­al Sci­ences] 318. Spring­er (Ber­lin), 1998. MR 1635983 Zbl 0917.​32019

[146]S. Kobay­ashi: “Dif­fer­en­tial geo­metry in Ja­pan in the 1940s and 1950s,” Sug­aku Ex­pos­i­tions 12 : 1 (1999), pp. 85–​93. Trans­la­tion of Sūgaku 49:3 (1997), 225–234. MR 1692106

[147]S. Kobay­ashi: “Al­most com­plex man­i­folds and hy­per­bol­i­city,” Res­ults Math. 40 : 1–​4 (2001), pp. 246–​256. Ded­ic­ated to Shi­ing-Shen Chern on his 90th birth­day. MR 1860372 Zbl 1004.​53052

[148]S. Kobay­ashi: “Al­most com­plex man­i­folds and a dif­fer­en­tial geo­met­ric cri­terion for hy­per­bol­i­city,” pp. 147–​156 in Dif­fer­en­tial geo­metry and re­lated top­ics. World Sci. Publ., 2002. MR 2066805 Zbl 1039.​53026

[149]S. Kobay­ashi: “Nat­ur­al con­nec­tions in al­most com­plex man­i­folds,” pp. 153–​169 in Ex­plor­a­tions in com­plex and Rieman­ni­an geo­metry. Con­temp. Math. 332. Amer. Math. Soc. (Provid­ence, RI), 2003. MR 2018338 Zbl 1052.​53032

[150]S. Kobay­ashi: “Prob­lems re­lated to hy­per­bol­i­city of al­most com­plex struc­tures,” pp. 141–​146 in Com­plex ana­lys­is in sev­er­al vari­ables: Me­mori­al con­fer­ence of Kiy­oshi Oka’s centen­ni­al birth­day. Adv. Stud. Pure Math. 42. Math. Soc. Ja­pan (Tokyo), 2004. MR 2087047 Zbl 1079.​32014

[151]S. Kobay­ashi: Hy­per­bol­ic man­i­folds and holo­morph­ic map­pings: An in­tro­duc­tion, 2nd edition. World Sci­entif­ic Pub­lish­ing (Hack­en­sack, NJ), 2005. MR 2194466 Zbl 1084.​32018

[152]J.-P. De­mailly, S. Kobay­ashi, R. Narasim­han, and Y.-T. Siu: “Cartan and com­plex ana­lyt­ic geo­metry,” No­tices Amer. Math. Soc. 57 : 8 (2010), pp. 952–​960. MR 2667492 Zbl 1195.​01062