Some Einstein-Randers metrics on homogeneous spaces

被引：16
|
作者：
Wang, Hui [1 ]
Deng, Shaoqiang [1 ,2 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 12期
关键词：
Einstein metric; Homogeneous manifold; Ricci curvature; RIEMANNIAN-MANIFOLDS;
D O I：
10.1016/j.na.2010.02.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study invariant Einstein-Randers metrics on some homogeneous Riemannian manifolds of rank >= 2. By finding out all the invariant Killing vector fields on the corresponding homogeneous Einstein Riemannian manifolds, we obtain a complete description of all the invariant Einstein-Randers metrics on those homogeneous manifolds. Since the underlying Riemannian Einstein metrics are generically not diagonal, this presents a large number of non-Riemannian homogeneous Einstein-Randers spaces of nonconstant flag curvature. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：4407 / 4414
页数：8
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