The limit map of a homomorphism of discrete Möbius groups

DOI10.1007/BF02698638zbMath0858.30034MaRDI QIDQ1918251

Pekka Tukia

Publication date: 31 March 1997

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1995__82__97_0

zbMATH Keywords

discrete Möbius groupsgeometrically finite groupMyrberg points

Mathematics Subject Classification ID

Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Cites Work

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• Bouts des variétés hyperboliques de dimension 3. (Ends of hyperbolic 3-dimensional manifolds)
• A rigidity theorem for Möbius groups
• Group completions and limit sets of Kleinian groups
• The density at infinity of a discrete group of hyperbolic motions
• The limit set of a Fuchsian group
• The Poincaré series and the conformal measure of conical and Myrberg limit points
• Limit points of Kleinian groups and finite sided fundamental polyhedra
• Quasiconformal extension of quasisymmetric mappings compatible with a Möbius group
• Group invariant Peano curves
• On boundaries of Teichmüller spaces and on Kleinian groups. II
• Discrete Quasiconformal Groups I

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