Homeomorphic extension of quasi-isometries for convex domains in \(\mathbb{C}^d\) and iteration theory

DOI10.1007/s00208-020-01954-1zbMath1460.32012arXiv1808.07415OpenAlexW3001524933WikidataQ126328780 ScholiaQ126328780MaRDI QIDQ2225627

Hervé Gaussier, Filippo Bracci, Andrew M. Zimmer

Publication date: 8 February 2021

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

Full work available at URL: https://arxiv.org/abs/1808.07415

zbMATH Keywords

Gromov hyperbolicitycommuting mapsboundary extension

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Finite-type conditions for the boundary of a domain (32F18)

Related Items (11)

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 ⋮ Abstract boundaries and continuous extension of biholomorphisms ⋮ On the continuous extension of Kobayashi isometries ⋮ Local and global visibility and Gromov hyperbolicity of domains with respect to the Kobayashi distance ⋮ The horofunction boundary of a Gromov hyperbolic space ⋮ Strongly Goldilocks domains, quantitative visibility, and applications ⋮ Horofunction compactifications and duality ⋮ Bi-Hölder extensions of quasi-isometries on complex domains ⋮ Extension of isometries in real Hilbert spaces

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