English

Metric structures associated to Finsler metrics

Differential Geometry 2014-01-07 v2

Abstract

We investigate the relation between weighted quasi-metric Spaces and Finsler Spaces. We show that the induced metric of a Randers space with reversible geodesics is a weighted quasi-metric space.

Keywords

Cite

@article{arxiv.1305.5880,
  title  = {Metric structures associated to Finsler metrics},
  author = {Sorin V. Sabau and Kazuhiro Shibuya and Hideo Shimada},
  journal= {arXiv preprint arXiv:1305.5880},
  year   = {2014}
}