Geodesic
Examples of hyperbolic spaces without the properties of quasi-ball or bounded eccentricity
Glasgow mathematical journal, Tome 66 (2024) no. 2, pp. 440-448

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DOI

In this note, we present examples of non-quasi-geodesic metric spaces which are hyperbolic (i.e., satisfying 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 by Chatterji and Niblo.
DOI : 10.1017/S0017089524000065
Mots-clés : Gromov’s hyperbolic spaces, Non-(quasi)-geodesic, Quasi-ball property, Bounded eccentricity property 
You, Qizheng; Zhang, Jiawen. Examples of hyperbolic spaces without the properties of quasi-ball or bounded eccentricity. Glasgow mathematical journal, Tome 66 (2024) no. 2, pp. 440-448. doi: 10.1017/S0017089524000065
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