A Gromov hyperbolic metric vs the hyperbolic and other related metrics
Metric Geometry
2017-05-25 v1
Abstract
We mainly consider two metrics: a Gromov hyperbolic metric and a scale invariant Cassinian metric. We compare these two metrics and obtain their relationship with certain well-known hyperbolic-type metrics, leading to several inclusion relations between the associated metric balls.
Keywords
Cite
@article{arxiv.1705.08574,
title = {A Gromov hyperbolic metric vs the hyperbolic and other related metrics},
author = {Manas Ranjan Mohapatra and Swadesh Kumar Sahoo},
journal= {arXiv preprint arXiv:1705.08574},
year = {2017}
}
Comments
20 pages, submitted to a journal