Symmetries of real hypersurfaces in complex 3-space

DOI10.1007/s11006-005-0111-2zbMath1082.32025OpenAlexW1987680930MaRDI QIDQ2577358

Valeriĭ K. Beloshapka

Publication date: 19 December 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0111-2

zbMATH Keywords

automorphism groupreal analytic hypersurfaceLie algebraLevi formhyperquadricCR-geometryanalytic germmodel surface

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40)

Related Items (9)

CR-manifolds of dimension 5: A Lie algebra approach ⋮ Reduction of five-dimensional uniformly Levi degenerate CR structures to absolute parallelisms ⋮ A complete normal form for everywhere Levi-degenerate hypersurfaces in \(\mathbb{C}^3\) ⋮ Model \(CR\) surfaces: weighted approach ⋮ CR-manifolds of finite Bloom-Graham type: the model surface method ⋮ The dimension conjecture: solution and future prospects ⋮ Nonlinearizable CR automorphisms for polynomial models in \(\mathbb{C}^N\) ⋮ Classification of Levi degenerate homogeneous CR-manifolds in dimension 5 ⋮ The sphere in \(\mathbf{C}^2\) as a model surface for degenerate hypersurfaces in \(\mathbf{C}^3\)

Cites Work

• Real hypersurfaces in complex manifolds
• Holomorphic classification of four-dimensional surfaces in $ \mathbb C^3$
• Normal forms and biholomorphic equivalence of real hypersurfaces in C^3
• Real submanifolds in complex space: polynomial models, automorphisms, and classification problems
• Automorphisms of 2-nondegenerate hypersurfaces in \(\mathbb{C}^3\)
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