The S-curvature of homogeneous Randers spaces

被引：30

作者：

Deng, Shaoqiang ^{[1
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2009年 / 27卷 / 01期

关键词：

Rnaders spaces; S-curvature; Berwald spaces; MANIFOLDS; METRICS;

D O I：

10.1016/j.difgeo.2008.06.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give an explicit formula of the S-curvature of homogeneous Randers spaces and prove that a homogeneous Randers space with almost isotropic S-curvature must have vanishing S-curvature. As an application, we obtain a classification of homogeneous Randers space with almost isotropic S-curvature in some special cases. Some examples are also given. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：75 / 84

页数：10

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