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

Li, Haizhong; Wei, Yong


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.

CollectionsANU Research Publications
Date published: 2014-07-24
Type: Journal article
Source: Journal of the Mathematical Society of Japan
DOI: 10.2969/jmsj/06630709
Access Rights: Open Access


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