Complete constant mean curvature surfaces in homogeneous spaces

被引：15

作者：

Espinar, Jose M. ^{[1
]}

Rosenberg, Harold ^{[2
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, E-18071 Granada, Spain

[2] Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil

来源：

COMMENTARII MATHEMATICI HELVETICI | 2011年 / 86卷 / 03期

关键词：

Constant mean curvature; homogeneous spaces;

D O I：

10.4171/CMH/237

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we classify complete surfaces of constant mean curvature whose Gaussian curvature does not change sign in a simply connected homogeneous manifold with a 4-dimensional isometry group.

引用

页码：659 / 674

页数：16

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