On the compactness of hypersurfaces with finite total curvature via mean curvature flow

被引：0

作者：

Cao, Shunjuan ^{[1
,2
]}

Zhao, Entao ^{[3
]}

机构：

[1] Zhejiang Agr & Forestry Univ, Dept Math, Linan 311300, Peoples R China

[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

[3] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Peoples R China

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2020年 / 158卷

基金：

中国国家自然科学基金;

关键词：

Hypersurfaces; Mean curvature flow; Compactness; Finite total curvature; RICCI CURVATURE; RIEMANNIAN-MANIFOLDS; SUBMANIFOLDS; THEOREMS;

D O I：

10.1016/j.geomphys.2020.103857

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a complete hypersurface in the Euclidean space, we assume that the second fundamental form is bounded and the mean curvature is bounded from below by a positive constant. We prove that if the L-p-norm of the trace-free second fundamental form for some p >= 2 is finite, then the hypersurface is compact. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：8

共 50 条

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