The Kobayashi metric and Gromov hyperbolicity on pseudoconvex domains of finite type in \(\mathbb{C}^2\)

DOI10.1007/s12220-023-01450-3zbMath1528.32017arXiv2306.12140OpenAlexW4388020695MaRDI QIDQ6089367

Xingsi Pu, Hai-Chou Li, Lang Wang

Publication date: 17 November 2023

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

Full work available at URL: https://arxiv.org/abs/2306.12140

zbMATH Keywords

Kobayashi metricpseudoconvex domainGromov hyperbolicitypseudodistance

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Finite-type domains (32T25)

Cites Work

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• Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Estimates on the Bergman kernels of convex domains
• Embeddings of Gromov hyperbolic spaces
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
• Gromov hyperbolicity of pseudoconvex finite type domains in \(\mathbb{C}^2\)
• Estimation on invariant distances on pseudoconvex domains of finite type in dimension two
• Bi-Hölder extensions of quasi-isometries on pseudoconvex domains of finite type in \(\mathbb{C}^2\)

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