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Three dimensional homogeneous Finsler manifolds |
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| Authors: | Zhiguang Hu Shaoqiang Deng |
| Affiliation: | 1. School of Mathematiccal Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China;2. College of Mathematics, Tianjin Normal University, Tianjin, P. R. China |
| Abstract: | In this paper we study three dimensional homogeneous Finsler manifolds. We first obtain a complete list of the three‐dimensional homogeneous manifolds which admit invariant Finsler metrics. Then we consider invariant Randers metrics and present the classification of three dimensional homogeneous Randers spaces under isometrics. |
| Keywords: | Homogeneous Finsler manifolds homogeneous Randers spaces Lie groups isometric groups MSC (2010) 22E46 53C60 |