Journal of Lie Theory 23 (2013), No. 3, 837--845
Copyright Heldermann Verlag 2013
Clifford-Wolf Homogeneous Randers Spaces
Ming Xu
College of Mathematical Sciences, Tianjin Normal University, Tianjin 300387, P. R. China.
mgmgmgxu@163.com
Shaoqiang Deng
School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China
dengsq@nankai.edu.cn
[Abstract-pdf]
A Clifford--Wolf translation of a connected Finsler space is an isometry which moves all points the same distance. A Finsler space $(M, F)$ is called Clifford-Wolf homogeneous if for any two points $x_1, x_2\in M$ there is a Clifford-Wolf translation $\rho$ such that $\rho(x_1)=x_2$. In this paper, we give a complete classification of connected simply connected Clifford-Wolf homogeneous Randers spaces.
Keywords: Finsler spaces, Clifford-Wolf translations, Clifford-Wolf homogeneous Randers spaces, Killing vector fields.
MSC: 22E46, 53C30
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