Uniformly quasiregular maps on the compactified Heisenberg group

DOI10.1007/s12220-010-9205-5zbMath1281.30018OpenAlexW2326175102WikidataQ110007350 ScholiaQ110007350MaRDI QIDQ692337

Zoltán M. Balogh, Kirsi Peltonen, Katrin S. Fässler

Publication date: 5 December 2012

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://boris.unibe.ch/11680/1/12220_2010_Article_9205.pdf

zbMATH Keywords

Heisenberg groupuniformly quasiregular mappings

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Elliptic equations on manifolds, general theory (58J05)

Related Items (9)

Prime ends in the Heisenberg group $\mathbb{H}_{1}$ and the boundary behavior of quasiconformal mappings ⋮ Quasiregular mappings on sub-Riemannian manifolds ⋮ POINCARÉ AND SOBOLEV INEQUALITIES FOR DIFFERENTIAL FORMS IN HEISENBERG GROUPS AND CONTACT MANIFOLDS ⋮ The local behaviour of open, light mappings satisfying generalized modular inequalities ⋮ Boundary behaviour of open, light mappings in metric measure spaces ⋮ On the radial limits of mappings on Riemannian manifolds ⋮ On boundary extension of mappings in metric spaces in the terms of prime ends ⋮ Lattès-type mappings on compact manifolds ⋮ Cluster sets theorems on metric measure spaces

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