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(11012) The extension and convergence of mean curvature flow in higher codimension

作者：Kefeng Liu, Hongwei Xu, Fei Ye and Entao Zhao

输入日期：2011-10-14 阅读次数：731

Abstract. In this paper, we first investigate the integral curvature condition to extend the mean curvature flow of submanifolds in a Riemannian manifold with codimension d 1, which generalizes the extension theorem for the mean
curvature flow of hypersurfaces due to Le-ˇ Seˇsum [12] and the authors [25, 26]. Using the extension theorem, we prove two convergence theorems for the mean curvature flow of closed submanifolds in Rn+d under suitable integral curvature conditions.

附件
1104.0971v1.pdf

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