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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.

Shaoqiang Deng
School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China


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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