Möbius invariant metrics bilipschitz equivalent to the hyperbolic metric

DOI10.1090/S1088-4173-08-00178-1zbMath1195.30004OpenAlexW2074500736MaRDI QIDQ3559517

David Minda, William Ma, David A. Herron

Publication date: 6 May 2010

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

Full work available at URL: https://doi.org/10.1090/s1088-4173-08-00178-1

zbMATH Keywords

cross ratiohyperbolic regionuniformly perfectFerrand metricPoincaré hyperbolic metricMöbius metrics

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Differentials on Riemann surfaces (30F30) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (7)

A metric that better approximates the hyperbolic metric ⋮ Local convexity of metric balls ⋮ Estimates of the hyperbolic metric on the twice punctured plane ⋮ Quasihyperbolic geodesics are hyperbolic quasi-geodesics ⋮ On the hyperbolic distance of \(n\)-times punctured spheres ⋮ Universal convexity for quasihyperbolic type metrics ⋮ Conformally invariant complete metrics

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