Interplay between interior and boundary geometry in Gromov hyperbolic spaces

DOI10.1007/S10711-010-9472-0zbMath1206.53047OpenAlexW2060089143MaRDI QIDQ605068

Julian Jordi

Publication date: 23 November 2010

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://www.zora.uzh.ch/id/eprint/156456/1/ZORA_NL_156456.pdf

zbMATH Keywords

hyperbolic spacesboundary at infinityquasimetricquasi-Möbius maps

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67) Extension of maps (54C20)

Related Items (7)

Sphericalization and flattening in quasi-metric measure spaces ⋮ Relatively quasimöbius mappings in Banach spaces ⋮ Quasi-metric antipodal spaces and maximal Gromov hyperbolic spaces ⋮ Quasi-isometries between visual hyperbolic spaces ⋮ A hyperbolic filling for ultrametric spaces ⋮ Sphericalizations and applications in Gromov hyperbolic spaces ⋮ On uniform perfectness in quasimetric spaces

Cites Work

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• Elements of asymptotic geometry
• Quasimöbius maps
• Embeddings of Gromov hyperbolic spaces
• Quasisymmetric embeddings of metric spaces
• Un Groupe Hyperbolique Est Déterminé Par Son Bord
• Distance functions and the metrization problem

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