Clifford-Wolf homogeneous Randers spaces

Abstract

A Clifford-Wolf translation of a connected Finsler space is an isometry which moves each point the same distance. A Finsler space $(M,F)$ 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.

8 pages