Date: 21 Feb 2012

A gap theorem for self-shrinkers of the mean curvature flow in arbitrary codimension

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

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

Communicated by J. Jost.