RIGIDITY OF COMPACT SURFACES IN HOMOGENEOUS 3-MANIFOLDS WITH CONSTANT MEAN CURVATURE

被引：0

作者：

王静 ^{[1
]}

张银山 ^{[2
]}

机构：

[1] School of Mathematics and Statistics,Beijing Institute of Technology

[2] School of Mathematics and Statistics,Zhengzhou University

来源：

Acta Mathematica Scientia | 2016年 / 36卷 / 06期

关键词：

homogeneous; 3-manifolds; Berger sphere; constant mean curvature surface; Hopf torus; Clifford torus;

D O I：

暂无

中图分类号：

O186.1 [微分几何];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper,we establish a rigidity theorem for compact constant mean curvature surfaces of the Berger sphere in terms of the surfaces’ geometric invariants.This extends the previous similar result on compact minimal surfaces of the Berger sphere.

引用

页码：1609 / 1618

页数：10

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