A NOTE ON THE MEAN CURVATURE FLOW IN RIEMANNIAN MANIFOLDS

被引：0

作者：

陈旭忠 ^{[1
]}

沈一兵 ^{[1
]}

机构：

[1] Department of Mathematics, Zhejiang University

来源：

ActaMathematicaScientia | 2010年 / 30卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Mean curvature flow; singularity; hypersurface; weakly convexity;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

Under the hypothesis of mean curvature flows of hypersurfaces, we prove that the limit of the smooth rescaling of the singularity is weakly convex. It is a generalization of the result due to G.Huisken and C. Sinestrari in. These apriori bounds are satisfied for mean convex hypersurfaces in locally symmetric Riemannian manifolds with nonnegative sectional curvature.

引用

页码：1053 / 1064

页数：12

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