Examples of hyperbolic spaces without the properties of quasi-ball or bounded eccentricity
Metric Geometry
2024-11-20 v1
Abstract
In this note, we present examples of non-quasi-geodesic metric spaces which are hyperbolic (i.e., satisfying the Gromov's -point condition) while the intersection of any two metric balls therein does not either "look like" a ball or has uniformly bounded eccentricity. This answers an open question posed in [2].
Keywords
Cite
@article{arxiv.2307.07991,
title = {Examples of hyperbolic spaces without the properties of quasi-ball or bounded eccentricity},
author = {Qizheng You and Jiawen Zhang},
journal= {arXiv preprint arXiv:2307.07991},
year = {2024}
}