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arxiv: 1206.3082 · v1 · pith:NE25XEGLnew · submitted 2012-06-14 · 🧮 math.DG

Clifford-Wolf homogeneous Randers spaces

classification 🧮 math.DG
keywords clifford-wolfconnectedhomogeneousfinslerrandersspacespacestranslation
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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 $x_1, x_2\in M$ there is a Clifford-Wolf translation $\rho$ such that $\rho(x_1)=x_2$. In this paper, we give a complete classification of connected simply connected Clifford-Wolf homogeneous Randers spaces.

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