Hyperbolicity of a Complex Manifold and Other Equivalent Properties

DOI10.2307/2045267zbMath0518.32017OpenAlexW4248857327MaRDI QIDQ3667173

Kang-Tae Kim, Kyong T. Hahn

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/2045267

zbMATH Keywords

Landau propertyKobayashi pseudometricBloch mapcharacterization of hyperbolicityhermitian complex manifoldnonexistence of holomorphic curvenonexistence of holomorphic mapPicard propertySchottky property

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Invariant metrics and pseudodistances in several complex variables (32F45) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items (5)

Equivalence of the Classical Theorems of Schottky, Landau, Picard and Hyperbolicity ⋮ On hyperbolicity modulo a closed subset of singular complex spaces ⋮ On necessary and sufficient conditions for the Kobayashi hyperbolicity of tube domains in \(\mathbb{C}^2\) ⋮ On the Hyperbolicity and the Schottky Property of Complex Spaces ⋮ The moduli space of hyperbolic compact complex spaces

Cites Work

• Unnamed Item
• Compact Manifolds and Hyperbolicity
• Equivalence of the Classical Theorems of Schottky, Landau, Picard and Hyperbolicity
• Asymptotic Behavior of Normal Mappings of Several Complex Variables
• On the relations between taut, tight and hyperbolic manifolds
• The Kobayashi Distance Induces the Standard Topology

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