Uniformly quasiregular maps with toroidal Julia sets

DOI10.1090/S1088-4173-2012-00235-4zbMath1261.30001OpenAlexW2004156915WikidataQ121075189 ScholiaQ121075189MaRDI QIDQ2888651

Riikka Kangaslampi, Kirsi Peltonen, Jang-Mei G. Wu

Publication date: 1 June 2012

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/s1088-4173-2012-00235-4

zbMATH Keywords

Julia setlens spaceconformal structureHopf linkLattès-type mappinguniformly quasiregular mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Global Riemannian geometry, including pinching (53C20) Fractals (28A80)

Cites Work

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• Quasiregularly elliptic link complements
• Quasisymmetric nonparametrization and spaces associated with the Whitehead continuum
• Quasiregular analogues of critically finite rational functions with parabolic orbifold
• Geometric branched covers between generalized manifolds
• Good metric spaces without good parameterizations
• On the nonexistence of bilipschitz parameterizations and geometric problems about \(A_ \infty\)-weights
• Lattès-type mappings on compact manifolds
• Stoïlow factorization for quasiregular mappings in all dimensions
• Uniformly quasiregular mappings of Lattès type

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