11 paper(s) uploaded by Martin_Man_chun_Li.

Index Title Upload Time Modified Time
1

Min-max theory for free boundary minimal hypersurfaces I-regularity theory

Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1910.43013

arXiv preprint arXiv:1611.02612, 2016.11
[ Download ] [ 2019-10-20 10:56:34 uploaded by Martin_Man_chun_Li ] [ 76 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-10-20 10:56:34 2020-01-03 16:31:15
2

A sharp comparison theorem for compact manifolds with mean convex boundary

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry mathscidoc:1910.43014

The Journal of Geometric Analysis, 24, (3), 1490-1496, 2014.7
[ Download ] [ 2019-10-20 10:57:09 uploaded by Martin_Man_chun_Li ] [ 45 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-10-20 10:57:09 2020-01-03 16:29:50
3

Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disk

Nikolaos Kapouleas Brown University Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1910.43015

arXiv preprint arXiv:1709.08556, 2017.9
[ Download ] [ 2019-10-20 10:57:25 uploaded by Martin_Man_chun_Li ] [ 65 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-10-20 10:57:25 2020-01-03 16:31:34
4

On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry mathscidoc:1910.43018

Proceedings of the American Mathematical Society, 140, (8), 2843-2854, 2012
[ Download ] [ 2019-10-20 10:58:56 uploaded by Martin_Man_chun_Li ] [ 42 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-10-20 10:58:56 2020-01-03 16:26:45
5

Chord shortening flow and a theorem of Lusternik and Schnirelmann

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:1910.43019

Pacific Journal of Mathematics, 299, (2), 469-488, 2019.5
[ Download ] [ 2019-10-20 10:59:13 uploaded by Martin_Man_chun_Li ] [ 66 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2019-10-20 10:59:13 2020-01-03 16:31:49
6

Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary

Martin Man-chun Li Chinese University of Hong Kong Ailana Fraser University of British Columbia

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10001

Journal of Differential Geometry, 96, (2), 183-200, 2014
[ Download ] [ 2020-01-03 16:24:44 uploaded by Martin_Man_chun_Li ] [ 47 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2020-01-03 16:24:44 2020-01-03 16:31:59
7

A general existence theorem of embedded minimal surfaces with free boundary

Martin Man-chun Li Chinese University of Hong Kong

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10002

Communications on Pure and Applied Mathematics, 68, (2), 286-331, 2015.2
[ Download ] [ 2020-01-03 16:34:43 uploaded by Martin_Man_chun_Li ] [ 80 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2020-01-03 16:34:43 -
8

Curvature estimates for stable free boundary minimal hypersurfaces

Qiang Guang University of California Santa Barbara Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10003

Journal für die reine und angewandte Mathematik, 2018.5
[ Download ] [ 2020-01-03 16:37:19 uploaded by Martin_Man_chun_Li ] [ 53 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2020-01-03 16:37:19 -
9

A maximum principle for free boundary minimal varieties of arbitrary codimension

Martin Man-chun Li Chinese University of Hong Kong Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10004

arXiv preprint arXiv:1708.05001, 2017.5
[ Download ] [ 2020-01-03 16:39:49 uploaded by Martin_Man_chun_Li ] [ 81 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2020-01-03 16:39:49 2020-01-03 16:40:15
10

Min-max theory for free boundary minimal hypersurfaces II: general Morse index bounds and applications

Qiang Guang Australian National University Martin Man-chun Li Chinese University of Hong Kong Zhichao Wang Max-Planck Institute for Mathematics Xin Zhou University of California Santa Barbara

Differential Geometry Geometric Analysis and Geometric Topology mathscidoc:2001.10005

arXiv preprint arXiv:1907.12064, 2019.7
[ Download ] [ 2020-01-03 16:43:37 uploaded by Martin_Man_chun_Li ] [ 84 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2020-01-03 16:43:37 -
 
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