Quasi-Conformal Geometry and Hyperbolic Geometry

Marc Bourdon () and Hervé Pajot ()
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Marc Bourdon: Université de Lille I, Mathématiques
Hervé Pajot: Université de Cergy-Pontoise, Mathématiques

A chapter in Rigidity in Dynamics and Geometry, 2002, pp 1-17 from Springer

Abstract: Abstract These notes deal with connections between quasi-conformal and hyperbolic geometry. In particular, we show how tools in geometric function theory like Poincaré inequalities or Loewner spaces can be used to study problems in hyperbolic geometry, for instance the problem of rigidity of quasi-isometries in Gromov hyperbolic spaces.

Keywords: Hyperbolic Group; Hyperbolic Geometry; Carnot Group; Geometric Function Theory; Poincare Inequality (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04743-9_1

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DOI: 10.1007/978-3-662-04743-9_1

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