Clifford-Wolf homogeneous Randers spaces

preprint2012arXivOpen access

Abstract

A Clifford-Wolf translation of a connected Finsler space is an isometry which moves each point the same distance. A Finsler space (M,F)(M, F) is called Clifford-Wolf homogeneous if for any two points x1,x2∈Mx_1, x_2\in M there is a Clifford-Wolf translation ρρ such that ρ(x1)=x2ρ(x_1)=x_2. In this paper, we give a complete classification of connected simply connected Clifford-Wolf homogeneous Randers spaces.

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