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

Haizhong LI; Yong WEI

doi:10.2969/jmsj/06630709

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July, 2014 Classification and rigidity of self-shrinkers in the mean curvature flow

Haizhong LI, Yong WEI

J. Math. Soc. Japan 66(3): 709-734 (July, 2014). DOI: 10.2969/jmsj/06630709

Abstract

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.

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Haizhong LI. Yong WEI. "Classification and rigidity of self-shrinkers in the mean curvature flow." J. Math. Soc. Japan 66 (3) 709 - 734, July, 2014. https://doi.org/10.2969/jmsj/06630709