On the existence of bounded holomorphic functions on complete Kähler manifolds

DOI10.1007/BF01388588zbMath0588.32001MaRDI QIDQ1073218

John S. Bland

Publication date: 1985

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143272

zbMATH Keywords

CR structurebounded holomorphic functions on complete Kähler manifoldsextension of CR functions to holomorphic functions

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Holomorphic functions of several complex variables (32A10) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Related Items

A class of nonpositively curved Kähler manifolds biholomorphic to the unit ball in \(\mathbb C^n\) ⋮ Bounded imbeddings of open Kähler manifolds in \({\mathbb{C}}^ n\) ⋮ Weighted \(L^2\) holomorphic functions on ball-fiber bundles over compact Kähler manifolds ⋮ MaximalL²and Pointwise Hölder Estimates for □_bonCRManifolds of ClassC² ⋮ Extension of complex structures on weakly pseudoconvex compact complex manifolds with boundary ⋮ Characterizing strong pseudoconvexity, obstructions to biholomorphisms, and Lyapunov exponents

Cites Work

• Function theory on manifolds which possess a pole
• Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems
• Harmonic maps of manifolds with boundary
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