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

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

2011-01-03

arxiv.org/abs/1101.0516v2

Mathematics

Differential Geometry

11 pages, minor corrections, accepted by Calc. Var. Partial Differential Equations

Scientific paper

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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