Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains

DOI10.1007/s00209-018-2114-1zbMath1426.32007arXiv1710.04192OpenAlexW2963350008MaRDI QIDQ2312820

Erlend Fornæss Wold, Filippo Bracci, John-Erik Fornaess

Publication date: 18 July 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04192

zbMATH Keywords

invariant metricextremal mapstrongly pseudoconvex domainworm domain

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Worm domains (32T20) Strongly pseudoconvex domains (32T15)

Related Items (8)

Visibility of Kobayashi geodesics in convex domains and related properties ⋮ Comparison and localization of invariant functions on strongly pseudoconvex domains ⋮ On the boundary rigidity at strongly pseudoconvex points ⋮ The pluricomplex Poisson kernel for strongly pseudoconvex domains ⋮ Slice rigidity property of holomorphic maps Kobayashi-isometrically preserving complex geodesics ⋮ A metric analogue of Hartogs' theorem ⋮ Fridman's invariant, squeezing functions, and exhausting domains ⋮ Quantitative localization and comparison of invariant distances of domains in \(\mathbb{C}^n\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noncritical holomorphic functions on Stein spaces
• Exposing points on the boundary of a strictly pseudoconvex or a locally convexifiable domain of finite 1-type
• Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings
• Pseudoconvex domains: An example with nontrivial nebenhuelle
• A preservation principle of extremal mappings near a strongly pseudoconvex point and its applications
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
• Comparison of invariant functions and metrics
• Properties of squeezing functions and global transformations of bounded domains
• Stein Manifolds and Holomorphic Mappings
• Some Problems
• The pluricomplex Poisson kernel for strongly convex domains
• La métrique de Kobayashi et la représentation des domaines sur la boule
• Embedding Strictly Pseudoconvex Domains in Convex Domains
• Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary
• Global 𝐶^{∞} irregularity of the ∂̄-Neumann problem for worm domains

This page was built for publication: Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains