Increasing sequences of complex manifolds

DOI10.1007/BF01450708zbMath0438.32012OpenAlexW2056578952MaRDI QIDQ1141795

John-Erik Fornaess, Nessim Sibony

Publication date: 1981

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

Full work available at URL: https://eudml.org/doc/182844

zbMATH Keywords

classification of complex manifoldsinfinitesimal Kobayashi metricnot Stein

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Complex manifolds (32Q99)

Related Items (16)

Abstract Basins of Attraction ⋮ Biholomorphic Invariants of a Hyperbolic Manifold and some Applications ⋮ The first thirty years of Andersén-Lempert theory ⋮ Examples of non-autonomous basins of attraction ⋮ Simultaneous models for commuting holomorphic self-maps of the ball ⋮ The stable subset of a univalent self-map ⋮ Limits of an increasing sequence of complex manifolds ⋮ A characterization of certain domains with good boundary points in the sense of Greene-Krantz. II ⋮ Complex Hénon mappings in \({\mathbb{C}}^ 2\) and Fatou-Bieberbach domains ⋮ Canonical models for the forward and backward iteration of holomorphic maps ⋮ A Universal Exhausting Domain ⋮ Canonical models for holomorphic iteration ⋮ Holomorphic Maps Which Preserve Intrinsic Metrics or Measures ⋮ Remarks on homogeneous hyperbolic complex manifolds ⋮ Classical and Stochastic Löwner–Kufarev Equations ⋮ Notes on the short \(\mathbb{C}^k\)'s

Cites Work

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• An increasing sequence of Stein manifolds whose limit is not Stein
• On the relations between taut, tight and hyperbolic manifolds
• Holomorphic mappings into tight manifolds

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