Bi-Hölder extensions of quasi-isometries on pseudoconvex domains of finite type in \(\mathbb{C}^2\)

DOI10.1007/s12220-023-01204-1OpenAlexW4322625422MaRDI QIDQ2690654

Jinsong Liu, Hong-Yu Wang, Xingsi Pu

Publication date: 17 March 2023

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

Full work available at URL: https://arxiv.org/abs/2301.06411

zbMATH Keywords

quasi-isometriesKobayashi metricGromov hyperbolicitypseodoconvex domains

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Finite-type domains (32T25) Finite-type conditions for the boundary of a domain (32F18)

Related Items (2)

The Kobayashi metric and Gromov hyperbolicity on pseudoconvex domains of finite type in \(\mathbb{C}^2\) ⋮ Strongly Goldilocks domains, quantitative visibility, and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type
• Estimates of the Kobayashi and quasi-hyperbolic distances
• Goldilocks domains, a weak notion of visibility, and applications
• Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Embeddings of Gromov hyperbolic spaces
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
• A lower bound on the Kobayashi metric near a point of finite type in \(\mathbb{C} ^ n\)
• Bi-Hölder extensions of quasi-isometries on complex domains
• Quantitative localization and comparison of invariant distances of domains in \(\mathbb{C}^n\)
• Gromov hyperbolicity of pseudoconvex finite type domains in \(\mathbb{C}^2\)
• Subelliptic estimates from Gromov hyperbolicity
• Visibility of Kobayashi geodesics in convex domains and related properties
• Estimation on invariant distances on pseudoconvex domains of finite type in dimension two
• Convex Domains and Kobayashi Hyperbolicity
• Complex Geodesics and Iterates of Holomorphic Maps on Convex Domains in C n
• Comparison of the real and the complex Green functions, and sharp estimates of the Kobayashi distance
• A geometric characterization of points of type m on real submanifolds of \(\mathbb{C}^n\)

This page was built for publication: Bi-Hölder extensions of quasi-isometries on pseudoconvex domains of finite type in \(\mathbb{C}^2\)