Mean curvature flow with convex Gauss image

被引：0

作者：

Yuanlong Xin

机构：

[1] Fudan University,Key Laboratory of Mathematics for Nonlinear Sciences, School of Mathematical Sciences

来源：

Chinese Annals of Mathematics, Series B | 2008年 / 29卷

关键词：

Mean curvature flow; Convex Gauss image; Curvature estimates; Long time existence; 53C44;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, the mean curvature flow of complete submanifolds in Euclidean space with convex Gauss image and bounded curvature is studied. The confinable property of the Gauss image under the mean curvature flow is proved, which in turn helps one to obtain the curvature estimates. Then the author proves a long time existence result. The asymptotic behavior of these solutions when t → ∞ is also studied.

引用

页码：121 / 134

页数：13

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