Spherical convexity and hyperbolic metric

DOI10.1007/S41478-016-0013-6zbMath1364.30049arXiv1704.07944OpenAlexW2555084622MaRDI QIDQ524753

Toshiyuki Sugawa

Publication date: 3 May 2017

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07944

zbMATH Keywords

hyperbolic metricspherical densityspherically convex domains

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45)

Related Items (1)

Geometric versions of Schwarz’s lemma for spherically convex functions

Cites Work

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• Hyperbolic geometry in k-convex regions
• Spherical density of hyperbolic metric and uniform perfectness
• Estimates for the hyperbolic metric
• The hyperbolic metric and spherically convex regions
• Quasi-invariant domain constants
• The hyperbolic metirc and bloch constants for spherically convex regions
• A Characterisation of Convex Domains in the Plane
• The Poincaré Metric of Plane Domains
• Schwarz-Pick Type Inequalities

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