Characterization of Domains in ℂn by their Noncompact Automorphism Groups
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Publication:5851037
DOI10.1017/S002776300000982XzbMath1187.32016arXiv0906.5133MaRDI QIDQ5851037
Publication date: 21 January 2010
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.5133
Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Complex Lie groups, group actions on complex spaces (32M05) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50)
Related Items (11)
On the automorphism groups of models in \(\mathbb {C}^{2}\) ⋮ Boundary behavior of the Carathéodory and Kobayashi-Eisenman volume elements ⋮ A new family of holomorphic homogeneous regular domains and some questions on the squeezing function ⋮ Limits of an increasing sequence of complex manifolds ⋮ Some regularity theorems for CR mappings ⋮ Further remarks on the higher dimensional Suita conjecture ⋮ Bounds for invariant distances on pseudoconvex Levi corank one domains and applications ⋮ Some properties of \(h\)-extendible domains in \(\mathbb{C}^{n + 1} \) ⋮ A note on the boundary behaviour of the squeezing function and Fridman invariant ⋮ A note on exhaustion of hyperbolic complex manifolds ⋮ Characterization of pseudoconvex domains of finite type with locally diagonalizable Levi form by their automorphism groups
Cites Work
- Domains in \({\mathbb{C}}^{n+1}\) with noncompact automorphism group
- Estimates of invariant metrics on pseudoconvex domains of dimension two
- Local regularity of CR homeomorphisms
- Real hypersurfaces, orders of contact, and applications
- Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group
- Sur une caractérisation de la boule parmi les domaines de \(\mathbb{C}^n\) par son groupe d'automorphismes
- Domains with non-compact automorphism group: a survey
- Generalizations of the theorems of Cartan and Greene-Krantz to complex manifolds
- A lower bound on the Kobayashi metric near a point of finite type in \(\mathbb{C} ^ n\)
- DOMAINS IN $ \mathbf{C}^2$ WITH NONCOMPACT HOLOMORPHIC AUTOMORPHISM GROUPS
- Domains in C^2 with noncompact automorphism groups
- CHARACTERIZATION OF MODELS IN C2 BY THEIR AUTOMORPHISM GROUPS
- Boundary Behavior of the Bergman Kernel Function on some Pseudoconvex Domains in ℂ n
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