Quasihyperbolic metric and Gromov hyperbolic spaces I
Metric Geometry
2024-11-12 v2
Abstract
In this paper, we introduce the concepts of short arc and length map in quasihyperbolic metric spaces, and obtain some geometric characterizations of Gromov hyperbolicity for quasihyperbolic metric spaces in terms of the properties of short arc and length map.
Keywords
Cite
@article{arxiv.2409.12006,
title = {Quasihyperbolic metric and Gromov hyperbolic spaces I},
author = {Hongjun Liu and Ling Xia and Shasha Yan},
journal= {arXiv preprint arXiv:2409.12006},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:1706.05494 by other authors