Mean Curvature Flow of Higher Codimension in Hyperbolic Spaces
Mean Curvature Flow of Higher Codimension in Hyperbolic Spaces
复制标题
DOI：
10.4310/cag.2013.v21.n3.a8
复制
发表时间：
2011-05
期刊：
影响因子：
--
通讯作者：
Kefeng Liu;Hong-wei Xu;Fei Ye;Entao Zhao
中科院分区：
文献类型：
--
作者：
Kefeng Liu;Hong-wei Xu;Fei Ye;Entao Zhao
本文研究了空间形式中具有任意余维的闭子流形的平均曲率流的收敛性。特别地，我们证明了平均曲率流在有限时间内将双曲空间形式中满足拼挤条件的闭子流形变形为一个圆点。
In this paper we investigate the convergence for the mean curvature flow of closed submanifolds with arbitrary codimension in space forms. Particularly, we prove that the mean curvature flow deforms a closed submanifold satisfying a pinching condition in a hyperbolic space form to a round point in finite time.