Distortion and topology

DOI10.1007/s11854-017-0032-5zbMath1439.30040arXiv1406.5324OpenAlexW2963323681MaRDI QIDQ1687974

Riku Klén, Gaven J. Martin

Publication date: 4 January 2018

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5324

zbMATH Keywords

distortionself mappings of the disk

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62)

Cites Work

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• Lectures on mappings of finite distortion
• The boundary correspondence under quasiconformal mappings
• Deformations of annuli with smallest mean distortion
• Quasiconformal and affine groups
• Quasiconformal extension from dimension n to n+1
• Conformally natural extension of homeomorphisms of the circle
• On minimisers of \(L^p\)-mean distortion
• Harmonic maps and the Schoen conjecture
• Quasicircles as equipotential lines, homotopy classes and geodesics
• Uniformly Perfect Sets and Quasiregular Mappings
• Extremal plane quasiconformal mappings with given boundary values
• The Beltrami equation
• Extremal mappings of finite distortion
• Extremal quasiconformal mappings

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