Naturally reductive homogeneous Randers spaces

[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.

[发布日期] 2010-12-01

[关键词] Invariant Randers metric;Naturally reductive space;Homogeneous geodesic;Flag curvature