paper

Weighted quasi-metrics associated with Finsler metrics

arXiv:1801.05636

Abstract

The current paper deals with some new classes of Finsler metrics with reversible geodesics. We construct weighted quasi-metrics associated with these metrics. Further, we investigate some important geometric properties of weighted quasi-metric space. Finally, we discuss the embedding of quasi-metric spaces with generalized weight.

22 pages, 1 figure