Premium
Three dimensional homogeneous Finsler manifolds
Author(s) -
Hu Zhiguang,
Deng Shaoqiang
Publication year - 2012
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201100100
Subject(s) - homogeneous , mathematics , invariant (physics) , finsler manifold , pure mathematics , mathematical analysis , geometry , mathematical physics , combinatorics , scalar curvature , curvature
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.