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arXiv:1101.0516 [math.DG]AbstractReferencesReviewsResources

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

Huai-Dong Cao, Haizhong Li

Published 2011-01-03, updated 2012-02-02Version 2

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.

Comments: 11 pages, minor corrections, accepted by Calc. Var. Partial Differential Equations
Categories: math.DG
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