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Clifford-Wolf Translations of Finsler spaces

In this paper, we study Clifford-Wolf translations of Finsler spaces. We first give a characterization of Clifford-Wolf translations of Finsler spaces in terms of Killing vector fields. In particular, we show that there is a natural correspondence between Clifford-Wolf translations and the Killing vector fields of constant length. In the special case of homogeneous Randers spaces, we give some explicit sufficient and necessary conditions for an isometry to be a Clifford-Wolf translation. Finally, we construct some explicit examples to explain some of the results of this paper.

preprint2012arXivOpen access
Shaoqiang DengMing Xu
math.DG
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Open access2 authors1 topic
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Shaoqiang DengMing Xu

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