COMPACTNESS OF CERTAIN FAMILIES OF PSEUDO-HOLOMORPHIC MAPPINGS INTO ${\mathbb C}^n$

DOI10.1142/S0129167X04002168zbMath1058.32020MaRDI QIDQ4809768

Kang-Tae Kim, Hervé Gaussier

Publication date: 30 August 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Kobayashi metricalmost complex manifoldsnormal families of \(J\)-holomorphic maps

Mathematics Subject Classification ID

Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Almost complex manifolds (32Q60)

Related Items (3)

Domains in almost complex manifolds with an automorphism orbit accumulating at a strongly pseudoconvex boundary point ⋮ Compactness theorems for sequences of pseudo-holomorphic coverings between domains in almost complex manifolds ⋮ On the automorphism group of strongly pseudoconvex domains in almost complex manifolds

Cites Work

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• Complex geometry of convex domains that cover varieties
• Pseudo holomorphic curves in symplectic manifolds
• Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings
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• Some integration problems in almost-complex and complex manifolds
• Существование близких псевдоголоморфных дисков для почти комплексных многообразий и приложение к псевдонорме Кобаяси - Ройдена
• Distortion theorems for holomorphic maps between convex domains in ⁿ
• On the completeness of a certain metric space with an application to Blaschke’s selection theorem
• Normal families of holomorphic mappings

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