Generalized Willmore functionals and related variational problems

被引：11
|
作者：
Guo, Zhen [1 ]
机构：
[1] Yunnan Normal Univ, Dept Math, Kunming 650092, Peoples R China
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2007年 / 25卷 / 05期
关键词：
conformally mean curvatures; generalized Willmore equation;
D O I：
10.1016/j.difgeo.2007.06.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to study the conformally invariant functionals of hypersurfaces in a Riemannian manifold and variational problems related to these functionals. A class of conformal invariants is presented and the variational problem related to this class of conformally invariant functionals is studied. (c) 2007 Elsevier B.V. All rights reserved.
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页码：543 / 551
页数：9
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