Cohomogeneity one Riemannian manifolds of non-positive curvature

被引：4
|
作者：
Abedi, H.
Alekseevsky, D. V.
Kashani, S. M. B.
机构：
[1] Tarbiat Modares Univ, Sch Sci, Tehran, Iran
[2] Res Inst Fundamental Sci, Tabriz, Iran
[3] Univ Hull, Dept Math, Kingston Upon Hull HU6 7RX, N Humberside, England
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2007年 / 25卷 / 05期
基金：
奥地利科学基金会;
关键词：
cohomogeneity one Riemannian manifolds; G-manifolds; manifolds of non-positive and negative curvature;
D O I：
10.1016/j.difgeo.2007.06.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a G-manifold M which admits a G-invariant Riemannian metric g of non-positive curvature. We describe all such Riemannian G-manifolds (M, g) of non-positive curvature with a semisimple Lie group G which acts on M regularly and classify cohomogeneity one G-manifolds M of a sernisimple Lie group G which admit an invariant metfic of non-positive curvature. Some results on non-existence of invariant metric of negative curvature on cohomogeneity one G-manifolds of a sernisimple Lie group G are given. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：561 / 581
页数：21
相关论文
共 50 条
12345