Naturally reductive homogeneous Randers spaces

被引：8

作者：

Latifi, Dariush ^{[1
]}

机构：

[1] Univ Mohaghegh Ardabili, Dept Math, Ardebil, Iran

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2010年 / 60卷 / 12期

关键词：

Invariant Randers metric; Naturally reductive space; Homogeneous geodesic; Flag curvature; RIEMANNIAN-MANIFOLDS; FINSLER-SPACES; METRICS;

D O I：

10.1016/j.geomphys.2010.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study naturally reductive Randers metrics on homogeneous manifolds. We first prove that naturally reductive Randers metrics are of Berwald type. We then give an explicit formula for the flag curvature of naturally reductive Randers metrics. Finally a necessary and sufficient condition for invariant Randers metrics on homogeneous manifolds being naturally reductive is given. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1968 / 1973

页数：6

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