Some Berwald Spaces of Non-positive flag Curvature

Abstract

In this paper by using left invariant Riemannian metrics on some 3-dimensional Lie groups we construct some complete non-Riemannian Berwald spaces of non-positive flag curvature and several families of geodesically complete locally Minkowskian spaces of zero constant flag curvature.

References in corpus (3)

• Flag Curvature of Invariant Randers Metrics on Homogeneous Manifolds
• On the flag curvature of invariant Randers metrics
• Induced Invariant Finsler Metrics on Quotient Groups

Cited by in corpus (3)

• The Relation Between Automorphism Group and Isometry Group of Randers Lie Groups
• On the Randers metrics on two-step homogeneous nilmanifolds of dimension five
• On the left invariant Randers and Matsumoto metrics of Berwald type on 3-dimensional Lie groups