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

Published 3 Jan 2011 in math.DG | (1101.0516v2)

Abstract: In this paper, we prove a classification theorem for self-shrinkers of the mean curvature flow with ∣A∣<sup>2≤</sup>1|A|<sup>2\le</sup> 1 in arbitrary codimension. In particular, this implies a gap theorem for self-shrinkers in arbitrary codimension.

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