A weak notion of visibility, a family of examples, and Wolff-Denjoy theorems

DOI10.2422/2036-2145.201906_007zbMath1483.32006arXiv1810.08193OpenAlexW3104692778MaRDI QIDQ5003225

Gautam Bharali, Anwoy Maitra

Publication date: 20 July 2021

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

Full work available at URL: https://arxiv.org/abs/1810.08193

zbMATH Keywords

weak visibilityGoldilocks domainsWolff-Denjoy-type theorem

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Plurisubharmonic functions and generalizations (32U05)

Related Items

Visibility of Kobayashi geodesics in convex domains and related properties ⋮ Abstract boundaries and continuous extension of biholomorphisms ⋮ Dynamics of low-degree rational inner skew-products on $\mathbb{T}^2$ ⋮ Unbounded visibility domains, the end compactification, and applications ⋮ Local and global visibility and Gromov hyperbolicity of domains with respect to the Kobayashi distance ⋮ Notions of visibility with respect to the Kobayashi distance: comparison and applications ⋮ Strongly Goldilocks domains, quantitative visibility, and applications ⋮ Localization of the Kobayashi distance for any visibility domain ⋮ Local and global notions of visibility with respect to Kobayashi distance: a comparison

Cites Work

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• Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type
• Wolff-Denjoy theorems in nonsmooth convex domains
• Characterizing domains by the limit set of their automorphism group
• Goldilocks domains, a weak notion of visibility, and applications
• The Denjoy-Wolff theorem in \(\mathbb C^n\)
• Manifolds of nonpositive curvature
• Horospheres and iterates of holomorpic maps
• Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings
• Fonctions plurisousharmoniques d'exhaustion bornees et domaines taut
• Real hypersurfaces, orders of contact, and applications
• Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains
• Visibility manifolds
• Quelques propriétés des applications analytiques d'une boule à \(m\) dimensions dans elle-même
• Non-expanding maps and Busemann functions
• Iteration of Contractions and Analytic Maps
• The dynamics of contractions
• On the relations between taut, tight and hyperbolic manifolds
• Invariant distances and metrics in complex analysis
• Normal families of holomorphic mappings