Three dimensional homogeneous Finsler manifolds

Zhiguang Hu and Shaoqiang Deng

Mathematische Nachrichten, 2012, vol. 285, issue 10, 1243-1254

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.

Date: 2012
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