A new proof of the $C^\infty $ regularity of $C^2$ conformal mappings on the Heisenberg group

DOI10.4064/cm7193-3-2017zbMath1390.30060arXiv1701.03182OpenAlexW2963400937MaRDI QIDQ4596099

Jeremy T. Tyson, Alex D. Austin

Publication date: 30 November 2017

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03182

zbMATH Keywords

conformal mappingsHeisenberg group

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in metric spaces (30L10)

Related Items (5)

\(C^{1,\alpha}\)-regularity for quasilinear degenerate elliptic equation with a drift term on the Heisenberg group ⋮ Regularity for a nonlinear discontinuous subelliptic system with drift on the Heisenberg group ⋮ Partial regularity for a nonlinear discontinuous sub-elliptic system with drift on the Heisenberg group: the superquadratic case ⋮ Conformality and \(Q\)-harmonicity in sub-Riemannian manifolds ⋮ The contact mappings of a flat \((2,3,5)\)-distribution

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