Classification and rigidity of self-shrinkers in the mean curvature flow

Haizhong Li; Yong Wei

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Classification and rigidity of self-shrinkers in the mean curvature flow

机译：平均曲率流中自收缩器的分类和刚度

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摘要

In this paper, we first use the method of Colding and Mini-cozzi Ⅱ to show that K. Smoczyk's classification theorem for complete self-shrinkers in higher codimension also holds under a weaker condition. Then as an application, we give some rigidity results for self-shrinkers in arbitrary codimension.

机译：在本文中，我们首先使用Colding和Mini-cozziⅡ的方法来证明在较高维数下完全自收缩的K. Smoczyk分类定理在较弱的条件下也成立。然后作为应用，我们给出了任意余维自收缩器的一些刚度结果。

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来源
《Journal of the Mathematical Society of Japan》 |2014年第3期|709-734|共26页
作者
Haizhong Li; Yong Wei;
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作者单位

Department of Mathematical Sciences Tsinghua University 100084, Beijing, China;

Department of Mathematical Sciences Tsinghua University 100084, Beijing, China;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
self-shrinker; rigidity; mean curvature flow;

机译：自缩刚性;平均曲率流;

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1. Rigidity of self-shrinkers and translating solitons of mean curvature flows [J] . Chen Qun, Qiu Hongbing Advances in Mathematics . 2016,第Null期

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2. Some rigidity theorems for self-shrinkers of the mean curvature flow [J] . Hezi Lin Journal of the Korean Mathematical Society . 2016,第4期

机译：平均曲率流自收缩的一些刚性定理
3. Rigidity and curvature estimates for graphical self-shrinkers [J] . Guang Qiang, Zhu Jonathan J. Calculus of variations and partial differential equations . 2017,第6期

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4. Flows under min/max curvature flow and mean curvature: applications in image processing [C] . R.Malladi, J.A.Sethian European conference on computer vision;ECCV'96 . 1996

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5. Self-Shrinkers and Singularity Models of the Mean Curvature Flow [D] . Guo, Siao-Hao 2017

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7. 2 CLASSIFICATION AND RIGIDITY OF SELF-SHRINKERS IN THE MEAN CURVATURE FLOW [O] . Haizhong Li, Yong Wei 2016

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Classification and rigidity of self-shrinkers in the mean curvature flow

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