Quasihyperbolic metric and Gromov hyperbolic spaces I
Hongjun Liu, Ling Xia, Shasha Yan
TL;DR
This paper explores the geometric properties of quasihyperbolic metric spaces, introducing concepts like short arc and length map to characterize Gromov hyperbolicity.
Contribution
It provides new geometric characterizations of Gromov hyperbolicity in quasihyperbolic spaces using short arc and length map concepts.
Findings
Characterization of Gromov hyperbolicity via short arc properties
Introduction of length map in quasihyperbolic spaces
Geometric criteria for hyperbolicity in these spaces
Abstract
In this paper, we introduce the concepts of short arc and length map in quasihyperbolic metric spaces, and obtain some geometric characterizations of Gromov hyperbolicity for quasihyperbolic metric spaces in terms of the properties of short arc and length map.
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Taxonomy
TopicsAnalytic and geometric function theory · Geometric and Algebraic Topology · Nonlinear Waves and Solitons