Domains with non-compact automorphism group: a survey
From MaRDI portal
Publication:1306825
DOI10.1006/aima.1998.1821zbMath1040.32019arXivmath/9612201OpenAlexW2083379534MaRDI QIDQ1306825
Steven G. Krantz, Alexander Isaev
Publication date: 1999
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9612201
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Cites Work
- A characterization of certain domains with good boundary points in the sense of Greene-Krantz
- Realization of linear Lie groups by biholomorphic automorphisms of bounded domains
- Domains in \({\mathbb{C}}^{n+1}\) with noncompact automorphism group
- Domains in \(\mathbb{C}^ n\) with a piecewise Levi flat boundary which possess a noncompact automorphism group
- Complex geometry of convex domains that cover varieties
- Domaines de \({\mathbb{C}}^ 2\), pseudoconvexes et de type fini ayant un groupe non compact d'automorphismes. (On domains in \({\mathbb{C}}^ 2\), being pseudoconvex and of finite type, with non-compact automorphism group)
- Homogeneous domains with piecewise-smooth boundaries
- Boundary invariants of pseudoconvex domains
- On the structure of a bounded domain with a special boundary point
- On the structure of a bounded domain with a special boundary point. II
- Bounded domains with prescribed group of automorphisms
- Characterizations of certain weakly pseudoconvex domains E(k,\(\alpha\) ) in \({\mathbb{C}}^ n\)
- Hyperbolic Reinhardt domains in \(\mathbb{C}^2\) with noncompact automorphism group
- Biholomorphic mappings and the \(\overline\partial\)-problem
- Real hypersurfaces, orders of contact, and applications
- A characterization of certain domains with good boundary points in the sense of Greene-Krantz. II
- Real hypersurfaces in complex manifolds
- Holomorphic equivalence problem for bounded Reinhardt domains
- Pseudoconvex domains with real-analytic boundary
- Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group
- On the automorphisms of circular and Reinhardt domains in complex Banach spaces
- Sur une caractérisation de la boule parmi les domaines de \(\mathbb{C}^n\) par son groupe d'automorphismes
- A remark on bounded Reinhardt domains
- Deformations of strictly pseudoconvex domains
- Some applications of Bell's theorem to weakly pseudoconvex domains
- On the boundary point repelling automorphism orbits
- Boundary behavior of the Bergman curvature in strictly pseudoconvex polyhedral domains
- Finitely smooth Reinhardt domains with non-compact automorphism group
- Characterization of convex domains with noncompact automorphism group
- On boundary accumulation points of a smoothly bounded pseudoconvex domain in \({\mathbb C}^2\)
- Weakly pseudoconvex domains with non-compact automorphism groups
- Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- On the automorphism groups of algebraic bounded domains
- A characterization of certain domains with good boundary points in the sense of Greene-Krantz. III
- Reinhardt domains with non-compact automorphism groups
- On pseudo-conformal transformations of hypersurfaces
- On a Domain in with generic piecewise smooth levi-flat boundary and non-compact automorphism group
- Characterization of Smooth Domains in ℂ by Their Biholomorphic Self-Maps
- Complete Localization of Domains with Noncompact Automorphism Groups
- The Isometry Groups of Manifolds and the Automorphism Groups of Domains
- HOLOMORPHIC AUTOMORPHISMS OF HYPERBOLIC REINHARDT DOMAINS
- DOMAINS IN $ \mathbf{C}^2$ WITH NONCOMPACT HOLOMORPHIC AUTOMORPHISM GROUPS
- On the boundary rigidity phenomenon for automorphisms of domains in ℂⁿ
- HOLOMORPHIC INEQUIVALENCE OF SOME CLASSES OF DOMAINS IN $\mathbf{C}^n$
- An Independence Result in Several Complex Variables
- Boundary Behavior of the Caratheodory and Kobayashi Metrics on Strongly Pseudoconvex Domains in C n with Smooth Boundary
- Intrinsic distances, measures and geometric function theory
- CHARACTERIZATION OF MODELS IN C2 BY THEIR AUTOMORPHISM GROUPS
- Extension of the Wong-Rosay theorem to the unbounded case
- Characterization of the Bidisc by Its Automorphism Group
- CONVEX DOMAINS WITH NONCOMPACT AUTOMORPHISM GROUPS
- Several Complex Variables and the Geometry of Real Hypersurfaces
- Examples of domains with non-compact automorphism groups
- On the boundary orbit accumulation set for a domain with noncompact automorphism group
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