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arXiv · 1204.5232

Clifford-Wolf translations of Homogeneous Randers spheres

Shaoqiang Deng·Ming Xu
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Abstract

In this paper, we study Clifford-Wolf translations of homogeneous Randers metrics on spheres. It turns out that we can present a complete description of all the Clifford-Wolf translations of all the homogeneous Randers metrics on spheres. The most important point of this paper is that a new phenomena surfaces. Namely, we find that there are some CW-homogeneous Randers spaces which are essentially not symmetric. This is a great difference compared to Riemannian geometry, where any CW-homogeneous Riemannian manifold must be locally symmetric.

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Shaoqiang Deng, Ming Xu. 2012-04-23. Clifford-Wolf translations of Homogeneous Randers spheres. https://arxiv.org/abs/1204.5232

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