ON THE GAUSS CURVATURE OF COMPACT SURFACES IN HOMOGENEOUS 3-MANIFOLDS

被引：14

作者：

Torralbo, Francisco ^{[1
]}

Urbano, Francisco ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 07期

关键词：

S-2 X R; CONSTANT CURVATURE;

D O I：

10.1090/S0002-9939-10-10316-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Compact flat surfaces of homogeneous Riemannian 3-manifolds with isometry group of dimension 4 are classified. Nonexistence results for compact constant Gauss curvature surfaces in these 3-manifolds are established.

引用

页码：2561 / 2567

页数：7