English

Clifford-Wolf homogeneous Randers spaces

Differential Geometry 2012-06-15 v1

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,x2Mx_1, x_2\in M there is a Clifford-Wolf translation ρ\rho such that ρ(x1)=x2\rho(x_1)=x_2. In this paper, we give a complete classification of connected simply connected Clifford-Wolf homogeneous Randers spaces.

Keywords

Cite

@article{arxiv.1206.3082,
  title  = {Clifford-Wolf homogeneous Randers spaces},
  author = {Shaoqiang Deng and Ming Xu},
  journal= {arXiv preprint arXiv:1206.3082},
  year   = {2012}
}

Comments

8 pages

R2 v1 2026-06-21T21:19:12.687Z