Three dimensional homogeneous Finsler manifolds

✍ Scribed by Zhiguang Hu; Shaoqiang Deng

• Publisher: John Wiley and Sons
• Year: 2012
• Tongue: English
• Weight: 180 KB
• Volume: 285
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.201100100

✦ Synopsis

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.