Clifford-Wolf homogeneous Randers spaces

2012/06/14 by Shaoqiang Deng, Ming Xu, Deng, Shaoqiang +1 · 2 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1206.3082

openalex publication_date 2012/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

Cited by

• A counter example for the Homogeneity Conjecture
• Standard homogeneous (α₁,α₂)-metrics and geodesic orbit property

Related

• Clifford-Wolf homogeneous Finsler metrics on spheres
• Clifford-Wolf Translations of Finsler spaces
• Clifford-Wolf translations of left invariant Randers metrics on compact Lie groups
• Clifford-Wolf homogeneous left invariant (α,β)-metrics on compact semi-simple Lie groups
• Locally symmetric homogeneous Finsler spaces