Gromov hyperbolization of unbounded noncomplete spaces and Hamenstädt metric

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.

20 pages

Cited by in corpus (1)

• Uniformization, $\partial$-biLipschitz maps, sphericalization, and inversion