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arXiv · 1201.4623

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

Haizhong Li·Yong Wei
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Abstract

In this paper, we first use the method of Colding and Minicozzi [5] to show that K. Smoczyk's classification theorem [16] 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. 2012-09-28. Classification and rigidity of self-shrinkers in the Mean curvature flow. https://arxiv.org/abs/1201.4623

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