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
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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.
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页码：2411 / 2435
页数：25
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