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.