Estimates of the Kobayashi and quasi-hyperbolic distances

DOI10.1007/s10231-016-0561-zzbMath1366.32006arXiv1510.01571OpenAlexW3101001826MaRDI QIDQ509560

Lyubomir Andreev, Nikolai Nikolov

Publication date: 17 February 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01571

zbMATH Keywords

Kobayashi distancequasi-hyperbolic distance

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Invariant metrics and pseudodistances in several complex variables (32F45)

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Visibility of Kobayashi geodesics in convex domains and related properties, Comparison and localization of invariant functions on strongly pseudoconvex domains, Notions of visibility with respect to the Kobayashi distance: comparison and applications, Strongly Goldilocks domains, quantitative visibility, and applications, Bi-Hölder extensions of quasi-isometries on pseudoconvex domains of finite type in \(\mathbb{C}^2\), Boundary behavior of the quasi-hyperbolic metric, On the squeezing function and Fridman invariants, A new intrinsic metric and quasiregular maps, A characterization of the ball in ℂn, Bi-Hölder extensions of quasi-isometries on complex domains, Quantitative localization and comparison of invariant distances of domains in \(\mathbb{C}^n\), Boundary behavior of the squeezing functions of ℂ-convex domains and plane domains

Cites Work

• Unnamed Item
• Characterizing domains by the limit set of their automorphism group
• Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings
• Uniform domains and the quasi-hyperbolic metric
• Conformal geometry and quasiregular mappings
• Comparison theorems for hyperbolic type metrics
• Quasihyperbolic geodesics in John domains.
• Behavior of Invariant Metrics Near Convexifiable Boundary Points
• Inequalities for the Green Function and Boundary Continuity of the Gradient of Solutions of Elliptic Differential Equations.
• Upper bound for the Lempert function of smooth domains