A note on the instability of embeddings of Cauchy-Riemann manifolds

DOI10.1007/BF02921383zbMath0748.32012OpenAlexW2081478457MaRDI QIDQ1183363

László Lempert, David W. Catlin

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1007/bf02921383

zbMATH Keywords

very ample line bundlestrictly pseudoconvex\(CR\) embedding\(CR\) manifold

Mathematics Subject Classification ID

CR structures, CR operators, and generalizations (32V05) Deformations of special (e.g., CR) structures (32G07)

Related Items

Embedding of three dimensional Cauchy-Riemann manifolds ⋮ Deformation of generic submanifolds in a complex manifold ⋮ On the stability of equivariant embedding of compact CR manifolds with circle action ⋮ A stability theorem for projective CR manifolds ⋮ Sobolev estimates for the complex Green operator on CR submanifolds of hypersurface type ⋮ Stability of embeddings for pseudoconcave surfaces and their boundaries ⋮ On Cauchy-Riemann manifolds the Levy forms of which have a positive eigenvalue ⋮ On a holomorphic family of Stein manifolds with strongly pseudoconvex boundaries

Cites Work

• Harmonic integrals on strongly pseudo-convex manifolds. I
• On the extension of holomorphic functions from the boundary of a complex manifold
• Embeddability for Three-Dimensional CR-Manifolds
• On Three-Dimensional Cauchy-Riemann Manifolds
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