Gromov hyperbolization of unbounded noncomplete spaces and Hamenst\"adt metric
Complex Variables
2024-04-09 v2 Metric Geometry
Abstract
In this paper, we investigate Gromov hyperbolizations of unbounded locally complete and incomplete metric spaces associated with three hyperbolic type metrics: the hyperbolization metric introduced by Ibragimov, the distance ratio metric, and the quasihyperbolic metric. As an application, we obtain a Gromov hyperbolic characterization of unbounded uniform domains in Banach spaces.
Keywords
Cite
@article{arxiv.2008.01406,
title = {Gromov hyperbolization of unbounded noncomplete spaces and Hamenst\"adt metric},
author = {Qingshan Zhou},
journal= {arXiv preprint arXiv:2008.01406},
year = {2024}
}
Comments
20 pages