Horosphere topology

DOI10.2422/2036-2145.201710_004zbMath1453.32016arXiv1605.04119OpenAlexW2796234917MaRDI QIDQ5120268

Filippo Bracci, Hervé Gaussier

Publication date: 9 September 2020

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04119

zbMATH Keywords

horosphere boundaryhorosphere topologyprime end-type theory

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Ideal boundary theory for Riemann surfaces (30F25) Boundary value problems in the complex plane (30E25) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Topological aspects of complex manifolds (32Q55) Boundary regularity of mappings in several complex variables (32H40) Topological consequences of geometric convexity (32F27) Strongly pseudoconvex domains (32T15)

Related Items (14)

Gromov hyperbolicity of pseudoconvex finite type domains in \(\mathbb{C}^2\) ⋮ Visibility of Kobayashi geodesics in convex domains and related properties ⋮ Abstract boundaries and continuous extension of biholomorphisms ⋮ Horosphere-invariant mappings of the unit ball in \(\mathbb{C}^n\) ⋮ Regularity of complex geodesics and (non-)Gromov hyperbolicity of convex tube domains ⋮ Metric geometry of the Kobayashi metric ⋮ Local and global visibility and Gromov hyperbolicity of domains with respect to the Kobayashi distance ⋮ The horofunction boundary of a Gromov hyperbolic space ⋮ Horofunction compactifications and duality ⋮ Some aspects of holomorphic mappings: a survey ⋮ Homeomorphic extension of quasi-isometries for convex domains in \(\mathbb{C}^d\) and iteration theory ⋮ The pluricomplex Poisson kernel for strongly pseudoconvex domains ⋮ A characterization of orthogonal convergence in simply connected domains ⋮ A metric version of Poincaré's theorem concerning biholomorphic inequivalence of domains

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