On the left invariant Randers and Matsumoto metrics of Berwald type on 3-dimensional Lie groups

Abstract

In this paper we identify all simply connected 3-dimensional real Lie groups which admit Randers or Matsumoto metrics of Berwald type with a certain underlying left invariant Riemannian metric. Then we give their flag curvatures formulas explicitly. © 2015, Springer-Verlag Wien.