Isometries for the modulus metric are quasiconformal mappings

DOI10.1090/tran/7712zbMath1441.30034OpenAlexW2593025307MaRDI QIDQ5227966

Dimitrios Betsakos, Stamatis Pouliasis

Publication date: 7 August 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/7712

zbMATH Keywords

quasiconformal mapquasiregular map

Mathematics Subject Classification ID

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

Related Items (5)

Conformally invariant metrics and lack of Hölder continuity ⋮ Isometries for the modulus metric in higher dimensions are conformal mappings ⋮ Infinitesimally small spheres and conformally invariant metrics ⋮ A note on mappings preserving harmonic measure ⋮ Conformally invariant complete metrics

Cites Work

• On isometries of conformally invariant metrics
• \(N\)-capacity, \(N\)-harmonic radius and \(N\)-harmonic transplantation
• Quasiconformal metric and its application to quasiregular mappings
• The quasihyperbolic metric and associated estimates on the hyperbolic metric
• Lipschitz conditions in conformally invariant metrics
• Conformal geometry and quasiregular mappings
• Inequalities and bi-Lipschitz conditions for the triangular ratio metric
• Condenser Capacities and Symmetrization in Geometric Function Theory
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