Estimates for conformal metric ratios
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Publication:2492081
DOI10.1007/BF03321101zbMath1093.30038OpenAlexW2071709111MaRDI QIDQ2492081
David Minda, William Ma, David A. Herron
Publication date: 6 June 2006
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03321101
Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) General theory of univalent and multivalent functions of one complex variable (30C55)
Related Items (9)
A metric that better approximates the hyperbolic metric ⋮ Renormalized volume and the volume of the convex core ⋮ Estimates of the hyperbolic metric on the twice punctured plane ⋮ The Thurston metric on hyperbolic domains and boundaries of convex hulls ⋮ Lipschitz estimates for conformal maps from the unit disk to convex domains ⋮ Chordal Hausdorff convergence and quasihyperbolic distance ⋮ Universal convexity for quasihyperbolic type metrics ⋮ Geodesics and curvature of Möbius invariant metrics ⋮ The induced metric on the boundary of the convex hull of a quasicircle in hyperbolic and anti-de Sitter geometry
Cites Work
- Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains
- Geodesics and curvature of Möbius invariant metrics
- Estimates for the hyperbolic metric
- The quasihyperbolic metric and associated estimates on the hyperbolic metric
- 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
- On an inequality for the hyperbolic measure and its applications in the theory of functions
- The Poincaré Metric on the Twice Punctured Plane and the Theorems of Landau and Schottky
- THE SHARP BOUND FOR THE DEFORMATION OF A DISC UNDER A HYPERBOLICALLY CONVEX MAP
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