The extension for mean curvature flow with finite integral curvature in Riemannian manifolds

被引：0

作者：

HongWei Xu

Fei Ye

EnTao Zhao

机构：

[1] Zhejiang University,Center of Mathematical Sciences

来源：

Science China Mathematics | 2011年 / 54卷

关键词：

mean curvature flow; Riemannian manifold; maximal existence; integral curvature; 53C44; 53C21;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate the integral conditions to extend the mean curvature flow in a Riemannian manifold. We prove that the mean curvature flow solution with finite total mean curvature at a finite time interval [0, T) can be extended over time T. Moreover, we show that the condition is optimal in some sense.

引用

页码：2195 / 2204

页数：9

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