J. Hass and J. H. Rubinstein :
“One-sided closed geodesics on surfaces ,”
Mich. Math. J.
33 : 2
(1986 ),
pp. 155–168 .
MR
837574
Zbl
0614.53035
article
People
BibTeX
@article {key837574m,
AUTHOR = {Hass, Joel and Rubinstein, J. H.},
TITLE = {One-sided closed geodesics on surfaces},
JOURNAL = {Mich. Math. J.},
FJOURNAL = {Michigan Mathematical Journal},
VOLUME = {33},
NUMBER = {2},
YEAR = {1986},
PAGES = {155--168},
DOI = {10.1307/mmj/1029003345},
NOTE = {MR:837574. Zbl:0614.53035.},
ISSN = {0026-2285},
}
J. Hass, H. Rubinstein, and P. Scott :
“Covering spaces of 3-manifolds ,”
Bull. Am. Math. Soc., New Ser.
16 : 1
(January 1987 ),
pp. 117–119 .
MR
866028
Zbl
0624.57016
article
People
BibTeX
@article {key866028m,
AUTHOR = {Hass, Joel and Rubinstein, Hyam and
Scott, Peter},
TITLE = {Covering spaces of 3-manifolds},
JOURNAL = {Bull. Am. Math. Soc., New Ser.},
FJOURNAL = {Bulletin of the American Mathematical
Society (New Series)},
VOLUME = {16},
NUMBER = {1},
MONTH = {January},
YEAR = {1987},
PAGES = {117--119},
DOI = {10.1090/S0273-0979-1987-15481-4},
NOTE = {MR:866028. Zbl:0624.57016.},
ISSN = {0273-0979},
CODEN = {BAMOAD},
}
J. Hass, H. Rubinstein, and P. Scott :
“Compactifying coverings of closed 3-manifolds ,”
J. Differ. Geom.
30 : 3
(1989 ),
pp. 817–832 .
MR
1021374
Zbl
0693.57011
article
People
BibTeX
@article {key1021374m,
AUTHOR = {Hass, Joel and Rubinstein, Hyam and
Scott, Peter},
TITLE = {Compactifying coverings of closed 3-manifolds},
JOURNAL = {J. Differ. Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {30},
NUMBER = {3},
YEAR = {1989},
PAGES = {817--832},
URL = {http://projecteuclid.org/euclid.jdg/1214443831},
NOTE = {MR:1021374. Zbl:0693.57011.},
ISSN = {0022-040X},
CODEN = {JDGEAS},
}
J. Hass, J. T. Pitts, and J. H. Rubinstein :
“Existence of unstable minimal surfaces in manifolds with homology and applications to triply periodic minimal surfaces ,”
pp. 147–162
in
Differential geometry
(Los Angeles, 8–28 July 1990 ),
part 1: Partial differential equations on manifolds .
Edited by R. E. Green and S.-T. Yau .
Proceedings of Symposia in Pure Mathematics 54 .
American Mathematical Society (Providence, RI ),
1993 .
MR
1216582
Zbl
0798.53009
incollection
People
BibTeX
@incollection {key1216582m,
AUTHOR = {Hass, Joel and Pitts, Jon T. and Rubinstein,
J. H.},
TITLE = {Existence of unstable minimal surfaces
in manifolds with homology and applications
to triply periodic minimal surfaces},
BOOKTITLE = {Differential geometry},
EDITOR = {Green, Robert Everist and Yau, Shing-Tung},
VOLUME = {1: Partial differential equations on
manifolds},
SERIES = {Proceedings of Symposia in Pure Mathematics},
NUMBER = {54},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1993},
PAGES = {147--162},
NOTE = {(Los Angeles, 8--28 July 1990). MR:1216582.
Zbl:0798.53009.},
ISSN = {0082-0717},
ISBN = {9780821814949},
}
J. Hass, J. H. Rubinstein, and S. Wang :
“Boundary slopes of immersed surfaces in 3-manifolds ,”
J. Diff. Geom.
52 : 2
(1999 ),
pp. 303–325 .
MR
1758298
Zbl
0978.57016
ArXiv
math/9911072
article
Abstract
People
BibTeX
This paper presents some finiteness results for the number of boundary slopes of immersed proper \( \pi_1 \) -injective surfaces of given genus \( g \) in a compact 3-manifold with torus boundary. In the case of hyperbolic 3-manifolds we obtain uniform quadratic bounds in \( g \) , independent of the 3-manifold.
@article {key1758298m,
AUTHOR = {Hass, Joel and Rubinstein, J. Hyam and
Wang, Shicheng},
TITLE = {Boundary slopes of immersed surfaces
in 3-manifolds},
JOURNAL = {J. Diff. Geom.},
FJOURNAL = {Journal of Differential Geometry},
VOLUME = {52},
NUMBER = {2},
YEAR = {1999},
PAGES = {303--325},
URL = {http://projecteuclid.org/euclid.jdg/1214425279},
NOTE = {ArXiv:math/9911072. MR:1758298. Zbl:0978.57016.},
ISSN = {0022-040X},
CODEN = {JDGEAS},
}
J. Hass, P. Norbury, and J. H. Rubinstein :
“Minimal spheres of arbitrarily high Morse index ,”
Commun. Anal. Geom.
11 : 3
(2003 ),
pp. 425–439 .
MR
2015753
Zbl
1104.53055
ArXiv
0206286
article
Abstract
People
BibTeX
@article {key2015753m,
AUTHOR = {Hass, Joel and Norbury, Paul and Rubinstein,
J. Hyam},
TITLE = {Minimal spheres of arbitrarily high
{M}orse index},
JOURNAL = {Commun. Anal. Geom.},
FJOURNAL = {Communications in Analysis and Geometry},
VOLUME = {11},
NUMBER = {3},
YEAR = {2003},
PAGES = {425--439},
URL = {http://intlpress.com/CAG/2003/11-3/CAG_11_425_439.pdf},
NOTE = {ArXiv:0206286. MR:2015753. Zbl:1104.53055.},
ISSN = {1019-8385},
}
J. Hass, J. H. Rubinstein, and A. Thompson :
“Knots and \( k \) -width ,”
Geom. Dedicata
143 : 7
(December 2009 ),
pp. 7–18 .
MR
2576289
Zbl
1189.57005
ArXiv
math/0604256
article
Abstract
People
BibTeX
@article {key2576289m,
AUTHOR = {Hass, Joel and Rubinstein, J. Hyam and
Thompson, Abigail},
TITLE = {Knots and \$k\$-width},
JOURNAL = {Geom. Dedicata},
FJOURNAL = {Geometriae Dedicata},
VOLUME = {143},
NUMBER = {7},
MONTH = {December},
YEAR = {2009},
PAGES = {7--18},
DOI = {10.1007/s10711-009-9368-z},
NOTE = {ArXiv:math/0604256. MR:2576289. Zbl:1189.57005.},
ISSN = {0046-5755},
}
J. Hass :
“What is an almost normal surface? ,”
pp. 1–13
in
Geometry and topology down under: A conference in honour of Hyam Rubinstein
(Melbourne, 11–22 July 2011 ).
Edited by C. D. Hodgson, W. H. Jaco, M. G. Scharlemann, and S. Tillmann .
Contemporary Mathematics 597 .
American Mathematical Society (Providence, RI ),
2013 .
MR
3186667
Zbl
1279.57002
incollection
Abstract
People
BibTeX
A major breakthrough in the theory of topological algorithms occurred in 1992 when Hyam Rubinstein introduced the idea of an almost normal surface. We explain how almost normal surfaces emerged naturally from the study of geodesics and minimal surfaces. Patterns of stable and unstable geodesics can be used to characterize the 2-sphere among surfaces, and similar patterns of normal and almost normal surfaces led Rubinstein to an algorithm for recognizing the 3-sphere.
@incollection {key3186667m,
AUTHOR = {Hass, Joel},
TITLE = {What is an almost normal surface?},
BOOKTITLE = {Geometry and topology down under: {A}
conference in honour of {H}yam {R}ubinstein},
EDITOR = {Hodgson, Craig D. and Jaco, William
H. and Scharlemann, Martin G. and Tillmann,
Stephan},
SERIES = {Contemporary Mathematics},
NUMBER = {597},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2013},
PAGES = {1--13},
DOI = {10.1090/conm/597/11777},
NOTE = {(Melbourne, 11--22 July 2011). MR:3186667.
Zbl:1279.57002.},
ISSN = {0271-4132},
ISBN = {9780821884805},
}