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Interplay between interior and boundary geometry in Gromov hyperbolic spaces


Jordi, Julian (2010). Interplay between interior and boundary geometry in Gromov hyperbolic spaces. Geometriae Dedicata, 149(1):129-154.

Abstract

We show that two visual and geodesic Gromov hyperbolic metric spaces are roughly isometric if and only if their boundaries at infinity, equipped with suitable quasimetrics, are bilipschitz-quasimoebius equivalent. Similarly, they are quasi-isometric if and only if their boundaries are power quasimoebius equivalent

Abstract

We show that two visual and geodesic Gromov hyperbolic metric spaces are roughly isometric if and only if their boundaries at infinity, equipped with suitable quasimetrics, are bilipschitz-quasimoebius equivalent. Similarly, they are quasi-isometric if and only if their boundaries are power quasimoebius equivalent

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:National licences > 142-005
Dewey Decimal Classification:Unspecified
Scopus Subject Areas:Physical Sciences > Geometry and Topology
Language:English
Date:1 December 2010
Deposited On:17 Dec 2018 17:42
Last Modified:31 Jul 2020 02:46
Publisher:Springer
ISSN:0046-5755
OA Status:Green
Publisher DOI:https://doi.org/10.1007/s10711-010-9472-0
Related URLs:https://www.swissbib.ch/Search/Results?lookfor=nationallicencespringer101007s1071101094720 (Library Catalogue)

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