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arXiv · 2307.07991

Examples of hyperbolic spaces without the properties of quasi-ball or bounded eccentricity

Qizheng You·Jiawen Zhang
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Abstract

In this note, we present examples of non-quasi-geodesic metric spaces which are hyperbolic (i.e., satisfying the Gromov's $4$-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].

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Qizheng You, Jiawen Zhang. 2023-07-16. Examples of hyperbolic spaces without the properties of quasi-ball or bounded eccentricity. https://doi.org/10.1017/s0017089524000065

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