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.
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页数：8
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