Quasihyperbolic metric and Möbius transformations

DOI10.1090/S0002-9939-2013-11765-XzbMath1408.30027arXiv1108.2967OpenAlexW2963475160MaRDI QIDQ2862192

Xiao-Hui Zhang, Riku Klén, Matti Vuorinen

Publication date: 14 November 2013

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

Full work available at URL: https://arxiv.org/abs/1108.2967

zbMATH Keywords

quasihyperbolic metricMöbius transformationspherical metricdistance-ratio metricquasiinvariance

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (7)

Hyperbolic type distances in starlike domains ⋮ Quasisymmetry and quasihyperbolicity of mappings on John domains ⋮ MAPPING PROPERTIES OF A SCALE INVARIANT CASSINIAN METRIC AND A GROMOV HYPERBOLIC METRIC ⋮ Growth of some hyperbolic type distances and starlikeness of metric balls ⋮ The visual angle metric and Möbius transformations ⋮ A decomposition for plane domains with the quasihyperbolic metric ⋮ The visual angle metric and quasiregular maps

Cites Work

• The diameter of a hyperbolic disc
• Quadruples and spatial quasiconformal mappings
• The quasihyperbolic metric and associated estimates on the hyperbolic metric
• Uniform domains and the quasi-hyperbolic metric
• Conformal geometry and quasiregular mappings
• Quasiconformally homogeneous domains
• Special functions of quasiconformal theory
• Lectures on \(n\)-dimensional quasiconformal mappings
• On Mori’s theorem for quasiconformal maps in the $n$-space
• Dimension-Free Quasiconformal Distortion in n-Space
• Möbius-invariant metrics
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