A characterization of hyperbolic spaces.

DOI10.4171/GGD/13zbMath1137.20036arXivmath/0410035MaRDI QIDQ2472584

Indira Chatterji, Graham A. Niblo

Publication date: 22 February 2008

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410035

zbMATH Keywords

Gromov hyperbolic spacesgeodesic metric spacesCAT(0) geometriesCayley graphs of finitely generated groupsintersections of metric balls

Mathematics Subject Classification ID

Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (2)

Sectional curvature of polygonal complexes with planar substructures ⋮ A four point characterisation for coarse median spaces

Cites Work

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• Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Geometry of the complex of curves. I: Hyperbolicity
• Strongly geodesically automatic groups are hyperbolic
• Gromov hyperbolic spaces

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