Lattès-type mappings on compact manifolds

DOI10.1090/S1088-4173-2010-00220-1zbMath1214.53032MaRDI QIDQ2997814

Kirsi Peltonen, Riikka Kangaslampi, Laura Astola

Publication date: 9 May 2011

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

zbMATH Keywords

Julia setconformal structureLattès-type mappinguniformly quasiregular mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Global Riemannian geometry, including pinching (53C20) Finite transformation groups (57S17)

Related Items (6)

Uniformly quasiregular maps with toroidal Julia sets ⋮ Obstructions for automorphic quasiregular maps and Lattès-type uniformly quasiregular maps ⋮ Equilibrium measures for uniformly quasiregular dynamics ⋮ Uniformly quasiregular maps on the compactified Heisenberg group ⋮ Conformally formal manifolds and the uniformly quasiregular non-ellipticity of \((\mathbb{S}^2 \times\mathbb{S}^2)\#(\mathbb{S}^2\times\mathbb{S}^2)\) ⋮ On quasiregular linearizers

Cites Work

• Uniformly quasiregular maps on the compactified Heisenberg group
• Quasiregular analogues of critically finite rational functions with parabolic orbifold
• On two-dimensional quasiconformal groups
• Branch sets of uniformly quasiregular maps
• Uniformly quasiregular mappings of Lattès type
• Examples of uniformly quasiregular mappings
• Local dynamics of uniformly quasiregular mappings
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