Evolution of convex hypersurfaces by powers of the mean curvature

被引：0
|
作者：
Felix Schulze
机构：
[1] ETH Zürich,Department of Mathematics
来源：
Mathematische Zeitschrift | 2005年 / 251卷
关键词：
Normal Vector; Finite Time; Final Time; Finite Time Interval; Positive Power;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the evolution of a closed, convex hypersurface in ℝn+1 in direction of its normal vector, where the speed equals a positive power k of the mean curvature. We show that the flow exists on a maximal, finite time interval, and that, approaching the final time, the surfaces contract to a point.
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页码：721 / 733
页数：12
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