An intrinsic characterization of the unit polydisc

DOI10.1307/mmj/1213972404zbMath1171.32011OpenAlexW1967316214MaRDI QIDQ2519159

Satoru Shimizu, Akio Kodama

Publication date: 22 January 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1213972404

zbMATH Keywords

polydiscautomorphisms of a Stein manifold

Mathematics Subject Classification ID

Complex Lie groups, group actions on complex spaces (32M05) Stein manifolds (32Q28) Homogeneous complex manifolds (32M10)

Related Items

A group-theoretic characterization of the Fock-Bargmann-Hartogs domains ⋮ A group-theoretic characterization of the direct product of a ball and punctured planes ⋮ A remark on a theorem by Kodama and Shimizu ⋮ A characterization of bounded symmetric domains of type IV

Cites Work

• Unnamed Item
• Unnamed Item
• On boundedness of circular domains
• Homogeneous hyperbolic manifolds and homogeneous Siegel domains
• \(T^ n\)-actions on holomorphically separable complex manifolds
• Deformations of strictly pseudoconvex domains
• A group-theoretic characterization of the space obtained by omitting the coordinate hyperplanes from the complex Euclidean space
• Characterization of the unit ball in \(\mathbb{C}^n\) among complex manifolds of dimension \(n\)
• A group-theoretic characterization of the space obtained by omitting the coordinate hyperplanes from the complex Euclidean space. II
• Groups of differentiable and real or complex analytic transformations
• A group-theoretic characterization of the direct product of a ball and a Euclidean space
• Effective Actions of the Unitary Group on Complex Manifolds
• A global formulation of the Lie theory of transformation groups
• Invariant distances and metrics in complex analysis