Journal of Lie Theory

no. 3
Clifford-Wolf Homogeneous Randers Spaces
Journal of Lie Theory, Volume 23 (2013) no. 3, pp. 837-845
A Clifford--Wolf translation of a connected Finsler space is an isometry which moves all points 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.
DOI: 10.5802/jolt.753
Classification: 22E46, 53C30
Keywords: Finsler spaces, Clifford-Wolf translations, Clifford-Wolf homogeneous Randers spaces, Killing vector fields 
@article{JOLT_2013_23_3_a13,
     author = {M. Xu and S. Deng},
     title = {Clifford-Wolf {Homogeneous} {Randers} {Spaces}},
     journal = {Journal of Lie Theory},
     pages = {837--845},
     year = {2013},
     volume = {23},
     number = {3},
     doi = {10.5802/jolt.753},
     zbl = {1277.53078},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.753/}
}
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M. Xu; S. Deng. Clifford-Wolf Homogeneous Randers Spaces. Journal of Lie Theory, Volume 23 (2013) no. 3, pp. 837-845. doi: 10.5802/jolt.753

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