Extension of CR structures on pseudoconvex CR manifolds with one degenerate eigenvalue

DOI10.2748/tmj/1113247478zbMath1046.32012OpenAlexW2017718953MaRDI QIDQ1423889

Sang-Hyun Cho

Publication date: 7 March 2004

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2e8918354195f62b6bf032cce6bd054ed9d8da2a

zbMATH Keywords

\(CR\) structuresone-side embedding

Mathematics Subject Classification ID

Deformations of complex structures (32G05) Extension of functions and other analytic objects from CR manifolds (32V25) Finite-type conditions on CR manifolds (32V35) Deformations of special (e.g., CR) structures (32G07)

Related Items

Extension of \(CR\) structures on three dimensional compact pseudoconvex CR manifolds ⋮ On the Applications of Bochner-Kodaira-Morrey-Kohn Identity ⋮ Extension of CR structures on pseudoconvex CR-manifolds with comparable eigenvalues of the Levi-form ⋮ $\overline \partial $-equation on a lunar domain with mixed boundary conditions

Cites Work

• Complex analytic coordinates in almost complex manifolds
• A simple Nash-Moser implicit function theorem
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Estimates of invariant metrics on pseudoconvex domains of dimension two
• Non-realizable CR structures
• Real hypersurfaces, orders of contact, and applications
• Extension of complex structures on weakly pseudoconvex compact complex manifolds with boundary
• Sufficient conditions for the extension of CR structures
• On the proof of Kuranishi's embedding theorem
• 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
• Extension of CR structures on three dimensional pseudoconvex CR manifolds
• Boundary Behavior of the Bergman Kernel Function on some Pseudoconvex Domains in ℂ n
• Unnamed Item

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