A metric that better approximates the hyperbolic metric

DOI10.1090/ecgd/368zbMath1486.30119OpenAlexW4210716884WikidataQ115546402 ScholiaQ115546402MaRDI QIDQ5037748

William Ma

Publication date: 4 March 2022

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

Full work available at URL: https://doi.org/10.1090/ecgd/368

zbMATH Keywords

hyperbolic metricMöbius invariant metricstar metric

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Conformal mappings of special domains (30C20) General theory of univalent and multivalent functions of one complex variable (30C55)

Cites Work

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• The Hahn metric on Riemann surfaces
• Geodesics and curvature of Möbius invariant metrics
• Universal covering maps for variable regions
• A canonical metric for Möbius structures and its applications
• Uniform estimates for the hyperbolic metric and Euclidean distance to the boundary
• Quasi-invariant domain constants
• Linear-invariante Familien analytischer Funktionen. I
• Estimates for conformal metric ratios
• Möbius invariant metrics bilipschitz equivalent to the hyperbolic metric

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