A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension

被引：92
|
作者：
Cao, Huai-Dong [1 ]
Li, Haizhong [2 ]
机构：
[1] Lehigh Univ, Dept Math, Bethlehem, PA 18015 USA
[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 46卷 / 3-4期
基金：
美国国家科学基金会;
关键词：
SUBMANIFOLDS;
D O I：
10.1007/s00526-012-0508-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove a classification theorem for self-shrinkers of the mean curvature flow with |A|(2) a parts per thousand currency sign 1 in arbitrary codimension. In particular, this implies a gap theorem for self-shrinkers in arbitrary codimension.
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页码：879 / 889
页数：11
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