Projective deformation and biholomorphic equivalence of real hypersurfaces

DOI10.1007/BF02329737zbMath0522.32016MaRDI QIDQ1055935

Gary R. Jensen

Publication date: 1983

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

projective deformationbiholomorphic equivalenceCauchy-Riemann structureChern-Moser connectionPfaffian differential systemreal analytic hypersurfaces in complex projective space

Mathematics Subject Classification ID

Pfaffian systems (58A17) Holomorphic mappings and correspondences (32H99) Real submanifolds in complex manifolds (32V40) Other connections (53B15) Deformations of special (e.g., CR) structures (32G07)

Related Items (5)

The Cauchy integral in \(\mathbb{C}^n\) for domains with minimal smoothness ⋮ Projective-umbilic points of circular real hypersurfaces in $\mathbb {C}^2$ ⋮ Holomorphic projection and duality for domains in complex projective space ⋮ Local characterization of a class of ruled hypersurfaces in \(\mathbb{C}^2\) ⋮ Projective invariants of CR-hypersurfaces

Cites Work

• Deformation of submanifolds of homogeneous spaces
• Real hypersurfaces in complex manifolds
• Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes
• Unnamed Item

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