English

Some Berwald Spaces of Non-positive flag Curvature

Differential Geometry 2016-12-30 v1

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.

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Cite

@article{arxiv.1305.2853,
  title  = {Some Berwald Spaces of Non-positive flag Curvature},
  author = {H. R. Salimi Moghaddam},
  journal= {arXiv preprint arXiv:1305.2853},
  year   = {2016}
}