A Note on the Wong-Rosay Theorem in Complex Manifolds

DOI10.1080/02781070290032225zbMath1044.32019OpenAlexW1986609141MaRDI QIDQ4425343

Steven G. Krantz, Kang-Tae Kim, Hervé Gaussier

Publication date: 2002

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02781070290032225

zbMATH Keywords

unit ballpseudoconvex domainWong-Rosay theorem

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Domains of holomorphy (32T05)

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Characterizations of Strongly Pseudoconvex Models in Almost Complex and CR Geometries ⋮ Integrable submanifolds in almost complex manifolds ⋮ Poincaré-Alexander theorem for model domains ⋮ A method of potential scaling in the study of pseudoconvex domains with noncompact automorphism group ⋮ Domains in almost complex manifolds with an automorphism orbit accumulating at a strongly pseudoconvex boundary point ⋮ On the upper-semicontinuity of automorphism groups of model domains in almost complex manifolds ⋮ The method of potential rescaling: overview and the localization ⋮ A characterization of the unit ball by a Kähler-Einstein potential ⋮ Unnamed Item ⋮ Domains in complex surfaces with non-compact automorphism groups ⋮ A counterexample to the existence of a local plurisubharmonic peak function at infinity ⋮ The impact of the theorem of Bun Wong and Rosay ⋮ Characterization of the unit ball in \(\mathbb{C}^n\) among complex manifolds of dimension \(n\) ⋮ Complete prolongation for infinitesimal automorphisms on almost complex manifolds ⋮ Existence of a complete holomorphic vector field via the Kähler-Einstein metric ⋮ 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

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