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Gromov hyperbolization of unbounded noncomplete spaces and Hamenstädt metric (2008.01406v2)
Published 4 Aug 2020 in math.CV and math.MG
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.