THE STABILITY OF SELF-SHRINKERS OF MEAN CURVATURE FLOW IN HIGHER CO-DIMENSION

被引：0

作者：

Lee, Yng-Ing ^{[1
,2
]}

Lue, Yang-Kai ^{[1
]}

机构：

[1] Natl Taiwan Univ, Dept Math, Taipei 10764, Taiwan

[2] Natl Ctr Theoretical Sci, Taipei Off, Taipei, Taiwan

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 367卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize Colding and Minicozzi's work (2012) on the stability of hypersurface self-shrinkers to higher co-dimension. The first and second variation formulae of the F-functional are derived and an equivalent condition to the stability in general co-dimension is found. We also prove that R-n is the only stable product self-shrinker and show that the closed embedded Lagrangian self-shrinkers constructed by Anciaux are unstable.

引用

页码：2411 / 2435

页数：25

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