The limit sets of Schottky quasiconformal groups are uniformly perfect

DOI10.1090/S0002-9947-05-03870-5zbMath1064.30012MaRDI QIDQ4654142

Xiaosheng Li

Publication date: 1 March 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

limit setconvergence groupuniformly perfect setdiscrete quasiconformal groupSchottky quasiconformal group

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (1)

Quasiconformal groups of compact type

Cites Work

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• Conformal geometry and quasiregular mappings
• Uniformly perfect sets and the Poincaré metric
• Lectures on \(n\)-dimensional quasiconformal mappings
• Discrete Quasiconformal Groups I
• Julia Sets are Uniformly Perfect
• The Poincaré Metric of Plane Domains
• Julia sets of rational functions are uniformly perfect
• Uniformly Perfect Sets and Quasiregular Mappings
• The Exponent of covergence and a theorem of astala
• Hausdorff dimension and limit sets of quasiconformal groups

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