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arXiv · 2008.01406

Gromov hyperbolization of unbounded noncomplete spaces and Hamenst\"adt metric

Qingshan Zhou
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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.

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Qingshan Zhou. 2020-08-04. Gromov hyperbolization of unbounded noncomplete spaces and Hamenst\"adt metric. https://arxiv.org/abs/2008.01406

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