Geometric construction of quasiconformal mappings in the Heisenberg group

DOI10.1090/ecgd/323zbMath1400.30057arXiv1612.01422OpenAlexW2962704575MaRDI QIDQ4687475

Robin Timsit

Publication date: 12 October 2018

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

Full work available at URL: https://arxiv.org/abs/1612.01422

zbMATH Keywords

Heisenberg groupquasiconformal maps

Mathematics Subject Classification ID

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

Related Items (2)

Hardy spaces and quasiconformal maps in the Heisenberg group ⋮ Moduli of Legendrian foliations and quadratic differentials in the Heisenberg group

Cites Work

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• Quasiconformal conjugacy classes of parabolic isometries of complex hyperbolic space
• The Teichmüller distance on the space of spherical CR structures
• Quasiconformal mappings on the Heisenberg group
• Foundations for the theory of quasiconformal mappings on the Heisenberg group
• Uniform domains and quasiconformal mappings on the Heisenberg group
• Regularity of quasi-linear equations in the Heisenberg group
• Uniqueness of minimisers for a Grötzsch-Belinskiĭ type inequality in the Heisenberg group
• Modulus method and radial stretch map in the Heisenberg group
• Lifts of Lipschitz maps and horizontal fractals in the Heisenberg group

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