Rigidity of automorphism groups of invariant domains in certain Stein homogeneous manifolds

DOI10.1016/j.crma.2012.02.009zbMath1244.32003OpenAlexW1975319360MaRDI QIDQ424761

Fu Sheng Deng, Xiang-Yu Zhou

Publication date: 4 June 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.02.009

zbMATH Keywords

Stein manifoldhomogeneous spaceholomorphic automorphisminvariant domain

Mathematics Subject Classification ID

Stein spaces (32E10) Complex spaces with a group of automorphisms (32M99)

Related Items (2)

Invariant domains of holomorphy: twenty years later ⋮ Proper holomorphic mappings between invariant domains in $\mathbb {C}^n$

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the automorphism group of a Stein manifold
• Correction to: The geometry and structure of isotropy irreducible homogeneous spaces
• Geometric invariant theory on Stein spaces
• Stein manifolds with compact symmetric center
• On isotropy irreducible Riemannian manifolds
• On the holomorphic automorphisms of hyperbolic manifolds.
• Homogeneous hyperbolic manifolds and homogeneous Siegel domains
• A counterexample to the Serre problem with a bounded domain of \({\mathbb{C}}^ 2\) as fiber
• Holomorphic equivalence and proper mapping of bounded Reinhardt domains not containing the origin
• Automorphisms and equivalence of bounded Reinhardt domains not containing the origin
• Holomorphic mapping of products of annuli in \(\mathbb{C}^n\)
• Grauert tubes and the homogeneous Monge-Ampère equation
• Global solutions of the homogeneous complex Monge-Ampère equation and complex structures on the tangent bundle of Riemannian manifolds
• On invariant domains in certain complex homogeneous spaces
• Plurisubharmonic functions and Kählerian metrics on complexification of symmetric spaces
• Harmonic functions and hyperbolics of tube domains
• HOLOMORPHIC AUTOMORPHISMS OF HYPERBOLIC REINHARDT DOMAINS
• Séries de Laurent des fonctions holomorphes dans la complexification d'un espace symétrique compact
• Rigidity of automorphism groups of invariant domains in homogeneous Stein spaces
• Symplectic geometry and the uniqueness of Grauert tubes

This page was built for publication: Rigidity of automorphism groups of invariant domains in certain Stein homogeneous manifolds