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

Haizhong Li; Yong Wei

doi:10.2969/jmsj/06630709

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

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

Haizhong Li, Yong Wei

著者情報

キーワード: self-shrinker, rigidity, mean curvature flow

ジャーナルフリー

2014 年 66 巻 3 号 p. 709-734

DOI https://doi.org/10.2969/jmsj/06630709

詳細

抄録

In this paper, we first use the method of Colding and Minicozzi II [7] to show that K. Smoczyk's classification theorem [25] 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.