ON A CLASSIFICATION THEOREM FOR SELF-SHRINKERS

被引：16

作者：

Rimoldi, Michele ^{[1
]}

机构：

[1] Univ Insubria, Dipartimento Sci & Alta Tecnol, I-22100 Como, Italy

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 10期

关键词：

Self-shrinkers; classification; weighted manifolds; MEAN-CURVATURE; RICCI; FLOW;

D O I：

10.1090/S0002-9939-2014-12074-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize a classification result for self-shrinkers of the mean curvature flow with nonnegative mean curvature, which was obtained by Colding and Minicozzi, by replacing the assumption on polynomial volume growth with a weighted L-2 condition on the norm of the second fundamental form. Our approach adopts the viewpoint of weighted manifolds and also permits us to recover and to extend some other recent classification and gap results for self-shrinkers.

引用

页码：3605 / 3613

页数：9

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