Metric conformal structures and hyperbolic dimension

DOI10.1090/S1088-4173-07-00165-8zbMath1165.20035MaRDI QIDQ5448890

Igor Mineyev

Publication date: 7 March 2008

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

word hyperbolic groupsCayley graphshyperbolic boundarieshyperbolic complexeshyperbolic dimensionstereographic projectionsvisual metricsGromov productsmetrics on boundary

Mathematics Subject Classification ID

Geometric group theory (20F65) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Compact (locally compact) metric spaces (54E45) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (9)

Proper isometric actions of hyperbolic groups on -spaces ⋮ Strong hyperbolicity ⋮ Sphericalization and flattening in quasi-metric measure spaces ⋮ Möbius and sub-Möbius structures ⋮ Hyperbolic groupoids: metric and measure ⋮ Incidence axioms for the boundary at infinity of complex hyperbolic spaces ⋮ Two applications of strong hyperbolicity ⋮ Sphericalizations and applications in Gromov hyperbolic spaces ⋮ Some spherical functions on hyperbolic groups

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