Hyperbolic imbedding and spaces of continuous extensions of holomorphic maps

DOI10.1007/BF02921586zbMath0818.32008OpenAlexW2062179395MaRDI QIDQ1336078

Myung H. Kwack, James E. Joseph

Publication date: 15 August 1995

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921586

zbMATH Keywords

Kobayashi pseudodistanceKobayashi-Royden pseudometrichyperbolic pointdivisor with normal crossingshyperbolically imbedded complex space

Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45) Extension of maps (54C20) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Picard-type theorems and generalizations for several complex variables (32H25)

Related Items (5)

Generalized big Picard theorem for pseudo-holomorphic maps ⋮ Unifying the little Picard, Lohwater-Pommerenke and Brody theorems ⋮ The convergence-extension theorem of Noguchi in infinite dimensions ⋮ Hyperbolic embeddedness and extension-convergence theorems of \(J\)-holomorphic curves ⋮ Extension and convergence theorems of pseudoholomorphic maps

Cites Work

• Hyperbolic fibre spaces and Mordell's conjecture over function fields
• Hermitesche Metriken und normale Familien holomorpher Abbildungen
• Generalization of the big Picard theorem
• Satake compactification and the great Picard theorem
• Hyperbolically imbedded spaces and the big Picard theorem
• A Characterization of Hyperbolic Manifolds
• Extensions of Holomorphic Maps
• Holomorphic Mappings into Projective Space with Lacunary Hyperplanes
• Common Fixed Points in Hyperbolic Riemann Surfaces and Convex Domains
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