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.

References in corpus (3)

• Flag Curvature of Invariant Randers Metrics on Homogeneous Manifolds
• The Relation Between Automorphism Group and Isometry Group of Randers Lie Groups
• Some Berwald Spaces of Non-positive flag Curvature

Cited by in corpus (2)

• Left Invariant Randers Metrics of Berwald type on Tangent Lie Groups
• Left invariant lifted $(\alpha ,\beta )$-metrics of Douglas type on tangent Lie groups