Bi-Hölder extensions of quasi-isometries on complex domains

DOI10.1007/s12220-021-00824-9zbMath1487.32062OpenAlexW4206157772MaRDI QIDQ2074492

Yanyan Li

Publication date: 10 February 2022

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

Full work available at URL: https://doi.org/10.1007/s12220-021-00824-9

zbMATH Keywords

quasi-isometriesKobayashi metricconvex domainsGromov hyperbolicity

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Finite-type conditions for the boundary of a domain (32F18) Strongly pseudoconvex domains (32T15)

Related Items

Strongly Goldilocks domains, quantitative visibility, and applications ⋮ Bi-Hölder extensions of quasi-isometries on pseudoconvex domains of finite type in \(\mathbb{C}^2\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type
• Exposing points on the boundary of a strictly pseudoconvex or a locally convexifiable domain of finite 1-type
• Estimates of the Kobayashi and quasi-hyperbolic distances
• Goldilocks domains, a weak notion of visibility, and applications
• An inequality in the theory of conformal mapping
• Canonical metrics on the moduli space of Riemann surfaces. II
• Pseudodistances and pseudometrics on real and complex manifolds
• Geometry of domains with the uniform squeezing property
• Uniform domains and the quasi-hyperbolic metric
• Optimal Lipschitz and \(L^p\) regularity for the equation \(\overline\partial u=f\) on strongly pseudo-convex domains
• Geometric characterizations of Gromov hyperbolicity
• Embeddings of Gromov hyperbolic spaces
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
• Homeomorphic extension of quasi-isometries for convex domains in \(\mathbb{C}^d\) and iteration theory
• Canonical metrics on the moduli space of Riemann surfaces. I
• Gromov hyperbolic spaces
• Properties of squeezing functions and global transformations of bounded domains
• Gromov hyperbolicity and quasihyperbolic geodesics
• A General Hopf Lemma and Proper Holomorphic Mappings between Convex Domains in ℂ n
• Convex Domains and Kobayashi Hyperbolicity
• Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
• Complex Geodesics and Iterates of Holomorphic Maps on Convex Domains in C n