Hyperbolic metric, curvature of geodesics and hyperbolic discs in hyperbolic plane domains

DOI10.1007/BF02807223zbMath0708.30045MaRDI QIDQ920242

Reuven Harmelin

Publication date: 1990

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

hyperbolic metricradius of convexityradius of injectivity

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Geometric function theory (30C99)

Related Items (10)

Estimates for conformal metric ratios ⋮ The conformal radius as a function and its gradient image ⋮ A Schwarz-Pick inequality for harmonic quasiconformal mappings and its applications ⋮ Quasi-invariant domain constants ⋮ Lipschitz continuity of quasiconformal solutions of the non-homogeneous Yukawa equations ⋮ Hyperbolic metric on the strip and the Schwarz lemma for HQR mappings ⋮ Characterizations of hyperbolically convex regions ⋮ A class of harmonic quasiconformal mappings with strongly hyperbolically convex ranges ⋮ Estimation of hyperbolically partial derivatives of ρ-harmonic quasiconformal mappings and its applications ⋮ On the strict concavity of the harmonic radius in dimension \(N\geq 3\)

Cites Work

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• On the Nehari univalence criterion and quasicircles
• Hyperbolic geometry in k-convex regions
• Locally convex functions and the Schwarzian derivative
• Bergman kernel function and univalence criteria
• Linear-invariante Familien analytischer Funktionen. I
• Complex Nonoscillation Theorems and Criteria of Univalence
• On The Zeros Of Solutions Of Second-Order Linear Differential Equations
• A Uniqueness Theorem for Beltrami Equations
• The Schwarzian derivative and schlicht functions

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