Clifford-Wolf translations of Homogeneous Randers spheres

Details Clifford-Wolf translations of Homogeneous Randers spheres Clifford-Wolf translations of Homogeneous Randers spheres

2012-04-23

arxiv.org/abs/1204.5232v1

Mathematics

Differential Geometry

14 pages

Scientific paper

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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