THE SURFACE AREA PRESERVING MEAN CURVATURE FLOW IN QUASI-FUCHSIAN MANIFOLDS

doi:10.1016/S0252-9602(12)60169-6

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (6): 2191-2202.doi: 10.1016/S0252-9602(12)60169-6

THE SURFACE AREA PRESERVING MEAN CURVATURE FLOW IN QUASI-FUCHSIAN MANIFOLDS

田大平¹|李光汉²|吴传喜^3*

1.School of Mathematics and Computer Science, Jianghan University, Wuhan 430056, China； 2.School of Mathematics and Computer Science, Hubei University, Wuhan 430062, China； 3.School of Mathematics and Computer Science, Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, Wuhan 430062, China

收稿日期:2011-06-20 出版日期:2012-11-20 发布日期:2012-11-20
通讯作者: 吴传喜,cxwu@hubu.edu.cn E-mail:tdp761128@163.com；liguanghan@163.com；cxwu@hubu.edu.cn
基金资助:
The research is partially supported by NSFC (10971055, 11171096), RFDP (20104208110002), Funds for Disciplines Leaders of Wuhan (Z201051730002) and the Scientific Research Project of Jianghan University (2011017).

THE SURFACE AREA PRESERVING MEAN CURVATURE FLOW IN QUASI-FUCHSIAN MANIFOLDS

TIAN Da-Ping¹, LI Guang-Han², WU Chuan-Xi^3*

1.School of Mathematics and Computer Science, Jianghan University, Wuhan 430056, China； 2.School of Mathematics and Computer Science, Hubei University, Wuhan 430062, China； 3.School of Mathematics and Computer Science, Key Laboratory of Applied Mathematics of Hubei Province, Hubei University, Wuhan 430062, China

Received:2011-06-20 Online:2012-11-20 Published:2012-11-20
Contact: WU Chuan-Xi,cxwu@hubu.edu.cn E-mail:tdp761128@163.com；liguanghan@163.com；cxwu@hubu.edu.cn
Supported by:
The research is partially supported by NSFC (10971055, 11171096), RFDP (20104208110002), Funds for Disciplines Leaders of Wuhan (Z201051730002) and the Scientific Research Project of Jianghan University (2011017).

摘要/Abstract

摘要：

In this paper, we consider the surface area preserving mean curvature flow in quasi-Fuchsian 3-manifolds. We show that the flow exists for all times and converges exponentially to a smooth surface of constant mean curvature with the same surface area as the initial surface.

关键词: quasi-Fuchsian 3-manifold, parabolic equation, maximum principle

Abstract:

Key words: quasi-Fuchsian 3-manifold, parabolic equation, maximum principle

中图分类号:

53C44

田大平, 李光汉, 吴传喜. THE SURFACE AREA PRESERVING MEAN CURVATURE FLOW IN QUASI-FUCHSIAN MANIFOLDS[J]. 数学物理学报(英文版), 2012, 32(6): 2191-2202.

TIAN Da-Ping, LI Guang-Han, WU Chuan-Xi. THE SURFACE AREA PRESERVING MEAN CURVATURE FLOW IN QUASI-FUCHSIAN MANIFOLDS[J]. Acta mathematica scientia,Series B, 2012, 32(6): 2191-2202.

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THE SURFACE AREA PRESERVING MEAN CURVATURE FLOW IN QUASI-FUCHSIAN MANIFOLDS

THE SURFACE AREA PRESERVING MEAN CURVATURE FLOW IN QUASI-FUCHSIAN MANIFOLDS

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