Gromov hyperbolization of unbounded noncomplete spaces and Hamenstädt metric

2020/08/04 by Qingshan Zhou, Zhou, Qingshan · 1 citation
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Metric Geometry (math.MG) #Primary: 30C65 #Secondary: 30L10

paper · pdf · doi:10.48550/arxiv.2008.01406

openalex publication_date 2020/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Uniformization, ∂-biLipschitz maps, sphericalization, and inversion

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