Sufficient conditions for the extension of CR structures

DOI10.1007/BF02922141zbMath0841.32012MaRDI QIDQ1345059

David W. Catlin

Publication date: 1 March 1995

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

zbMATH Keywords

\(CR\) manifoldextension of \(CR\) structuresintegrable almost complex structuresKuranishi embedding problem

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Deformations of special (e.g., CR) structures (32G07) CR manifolds (32V99)

Related Items

Extension of \(CR\) structures on three dimensional compact pseudoconvex CR manifolds ⋮ On the Applications of Bochner-Kodaira-Morrey-Kohn Identity ⋮ Transversal group actions on CR manifolds and embeddability ⋮ Extension of CR structures on three dimensional pseudoconvex CR manifolds ⋮ SOBOLEV ESTIMATES OF SOLUTIONS OF THE $\bar{\partial}$-NEUMANN PROBLEM ON PARAMETERS ⋮ Isolated complex singularities and their CR links ⋮ Non completely solvable systems of complex first order PDE's ⋮ Extension of CR structures on pseudoconvex CR-manifolds with comparable eigenvalues of the Levi-form ⋮ Extension of CR structures on pseudoconvex CR manifolds with one degenerate eigenvalue ⋮ Regularity in the local CR embedding problem ⋮ CR manifolds admitting a CR contraction ⋮ $\overline \partial $-equation on a lunar domain with mixed boundary conditions ⋮ Sobolev estimates for the local extension of ∂̄_{𝑏}-closed (0,1)-forms on real hypersurfaces in ℂⁿ with two positive eigenvalues

Cites Work

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• LeBrun's nonrealizability theory in higher dimensions
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• On boundaries of complex analytic varieties. I
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• A Newlander-Nirenberg theorem for manifolds with boundary
• Strongly pseudoconvex CR structures over small balls. I: An a priori estimate
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

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