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arXiv · 1101.0516

A Gap Theorem for Self-shrinkers of the Mean Curvature Flow in Arbitrary Codimension

Huai-Dong Cao·Haizhong Li
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Abstract

In this paper, we prove a classification theorem for self-shrinkers of the mean curvature flow with $|A|^2\le 1$ in arbitrary codimension. In particular, this implies a gap theorem for self-shrinkers in arbitrary codimension.

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Huai-Dong Cao, Haizhong Li. 2012-02-02. A Gap Theorem for Self-shrinkers of the Mean Curvature Flow in Arbitrary Codimension. https://arxiv.org/abs/1101.0516

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