Remarks on the generic rank of a CR mapping

DOI10.1007/BF02921332zbMath0748.32011MaRDI QIDQ1186666

Mohamed Salah Baouendi, Linda Preiss Rothschild

Publication date: 28 June 1992

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

zbMATH Keywords

real hypersurface\(CR\) mapping\(D\)-finite typeformal hypersurface

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) CR structures, CR operators, and generalizations (32V05)

Related Items (5)

A generalized complex Hopf lemma and its applications to CR mappings ⋮ Proper holomorphic mappings between real analytic domains in \(\mathbf \mathbb{C}^ n\) ⋮ Analytic sets and the boundary regularity of CR mappings ⋮ On the classification theorem for CR mappings ⋮ Uniformly Levi degenerate CR manifolds: The 5-dimensional case

Cites Work

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• Geometric properties of mappings between hypersurfaces in complex space
• On the analyticity of CR mappings
• Sur le prolongement holomorphe des fonctions CR définies sur une hypersurface réelle de classe \(C^ 2\) dans \({\mathbb{C}}^ n\). (Holomorphic continuation of CR-functions defined on a real hypersurface of class \(C^ 2\) in \({\mathbb{C}}^ n)\)
• Real hypersurfaces, orders of contact, and applications
• Images of real hypersurfaces under holomorphic mappings
• Infinitesimal CR Automorphisms of Rigid Hypersurfaces

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