CR hypersurfaces with a contracting automorphism

DOI10.1007/S12220-008-9033-ZzbMath1187.32030OpenAlexW2010425867MaRDI QIDQ942981

Kang-Tae Kim, Sung-Yeon Kim

Publication date: 8 September 2008

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-008-9033-z

zbMATH Keywords

contractionlinearizationsignatureprojective spacehyperquadricholomorphic mappingCR hypersurfaceLevi-nondegenerate

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Embeddings of CR manifolds (32V30)

Related Items (5)

Domains with a contracting automorphism at a boundary point ⋮ Smooth hypersurfaces with a CR contraction ⋮ Domains with hyperbolic orbit accumulation boundary points ⋮ CR manifolds admitting a CR contraction ⋮ The automorphism group and limit set of a bounded domain I: the finite type case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of local automorphisms of embedded CR-manifolds.
• Domains in \({\mathbb{C}}^{n+1}\) with noncompact automorphism group
• Boundary invariants of pseudoconvex domains
• 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
• Complex scaling and domains with non-compact automorphism group
• Characterization of convex domains with noncompact automorphism group
• Smooth real hypersurfaces in \(\mathbb{C}^n\) with a non-compact isotropy group of CR transformations
• Analytic sets extending the graphs of holomorphic mappings
• On the conformal and CR automorphism groups
• Complete Localization of Domains with Noncompact Automorphism Groups
• CHARACTERIZATION OF MODELS IN C² BY THEIR AUTOMORPHISM GROUPS
• Analytic polyhedra in ℂ²with a non-compact automorphism group
• A note on uniform extendability of automorphisms
• Normal analytic polyhedra in \(\mathbb{C}^2\) with a noncompact automorphism group

This page was built for publication: CR hypersurfaces with a contracting automorphism