CR manifolds admitting a CR contraction

DOI10.1007/s12220-010-9166-8zbMath1219.32017arXiv0807.0482OpenAlexW2071733446MaRDI QIDQ535608

Jean-Christophe Yoccoz, Kang-Tae Kim

Publication date: 13 May 2011

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

Full work available at URL: https://arxiv.org/abs/0807.0482

zbMATH Keywords

embeddingCR manifold, CR contraction

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Complex Lie groups, group actions on complex spaces (32M05) CR manifolds as boundaries of domains (32V15) Finite-type conditions on CR manifolds (32V35)

Related Items (6)

Some Problems ⋮ Nonlinearizable CR automorphisms for polynomial models in \(\mathbb{C}^N\) ⋮ Domains with a contracting automorphism at a boundary point ⋮ The characterization of holomorphic vector fields vanishing at an infinite type point ⋮ On the tangential holomorphic vector fields vanishing at an infinite type point ⋮ Finite type domains with hyperbolic orbit accumulation points

Cites Work

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• Dynamics of local automorphisms of embedded CR-manifolds.
• CR hypersurfaces with a contracting automorphism
• Microlocal hypo-analyticity and extension of CR functions
• Boundary invariants of pseudoconvex domains
• Real hypersurfaces, orders of contact, and applications
• Sufficient conditions for the extension of CR structures
• Smooth real hypersurfaces in \(\mathbb{C}^n\) with a non-compact isotropy group of CR transformations
• On the conformal and CR automorphism groups
• Differentiable conjugacies of Morse-Smale diffeomorphisms

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