A construction of normal forms for weakly pseudoconvex CR manifolds in \(C^ 2\).

DOI10.1007/BF01399509zbMath0495.32007OpenAlexW4255459624MaRDI QIDQ1169596

Philip P. W. Wong

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142956

zbMATH Keywords

biholomorphic transformationsCxCfamily of real hypersurfacesnormal forms for weakly pseudoconvex CR manifoldspositive definite secondary Levi form

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Pseudoconvex domains (32T99)

Related Items

Local symmetries of finite type hypersurfaces in \(\mathbb C^2\) ⋮ Finite type hypersurfaces with divergent normal form ⋮ Normal forms in Cauchy-Riemann geometry ⋮ Convergent normal form for real hypersurfaces at a generic Levi-degeneracy ⋮ Normal form for infinite type hypersurfaces in \(\mathbb C^2\) with nonvanishing Levi form derivative ⋮ Local geometric properties of real submanifolds in complex space ⋮ Uniformly Levi degenerate CR manifolds: The 5-dimensional case ⋮ Infinitesimal symmetries of weakly pseudoconvex manifolds ⋮ Convergent normal form and canonical connection for hypersurfaces of finite type in \(\mathbb{C}^2\)

Cites Work

• Real hypersurfaces in complex manifolds
• Pseudoconvex domains with real-analytic boundary
• A construction of peak functions on weakly pseudoconvex domains
• Biholomorphic maps of weakly pseudoconvex domains
• A pseudo-convex domain not admitting a holomorphic support function
• Boundary behavior of \(\bar \partial\) on weakly pseudo-convex manifolds of dimension two
• Hölder and L^p estimates for solutions of ∂u = f in strongly pseudoconvex domains
• Unnamed Item

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