Local embeddability of CR manifolds into spheres

DOI10.1007/s00208-008-0302-8zbMath1178.32023OpenAlexW1995126830MaRDI QIDQ1016222

Jong-Won Oh, Sung-Yeon Kim

Publication date: 5 May 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00208-008-0302-8

zbMATH Keywords

embeddingpseudoconvex \(CR\) manifold

Mathematics Subject Classification ID

Embeddings of CR manifolds (32V30) Local submanifolds (53B25) Analysis on CR manifolds (32V20) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items (2)

On CR embeddings of strictly pseudoconvex hypersurfaces into spheres in low dimensions ⋮ Regularity of rigid CR hypersurfaces in a sphere

Cites Work

• Boundary behavior of proper holomorphic mappings
• Real hypersurfaces in complex manifolds
• Spherical hypersurfaces in complex manifolds
• Pseudo-hermitian structures on a real hypersurface
• Complete differential system for the mappings of CR manifolds of nondegenerate Levi forms
• Rigidity of CR-immersions into spheres
• Proper holomorphic mappings
• IMBEDDING CAUCHY-RIEMANN MANIFOLDS INTO A SPHERE
• Embedding Strictly Pseudoconvex Domains Into Balls
• The Nonimbeddability of Real Hypersurfaces in Spheres
• Imbedding Strictly Pseudo Convex Domains Into a Ball
• Embedding Strictly Pseudoconvex Domains in Convex Domains
• SOLVABILITY OF OVERDETERMINED PDE SYSTEMS THAT ADMIT A COMPLETE PROLONGATION AND SOME LOCAL PROBLEMS IN CR GEOMETRY
• COMPLETE PROLONGATION AND THE FROBENIUS INTEGRABILITY FOR OVERDETERMINED SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS

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