LeBrun's nonrealizability theory in higher dimensions

DOI10.1215/S0012-7094-85-05222-6zbMath0573.32018OpenAlexW2058643184MaRDI QIDQ1063147

Hugo Rossi

Publication date: 1985

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-85-05222-6

zbMATH Keywords

Riemannian manifoldCR manifoldconformal structureCauchy-Riemann embeddingnonrealizability theorem of LeBrun

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Global Riemannian geometry, including pinching (53C20) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Complex manifolds (32Q99) Real-analytic manifolds, real-analytic spaces (32C05) Deformations of special (e.g., CR) structures (32G07)

Related Items (6)

Sufficient conditions for the extension of CR structures ⋮ Twistor theory for co-CR quaternionic manifolds and related structures ⋮ CR-twistor spaces over manifolds with \(G_2\)- and spin(7)-structures ⋮ HARMONIC MAPS AND TWISTORIAL STRUCTURES ⋮ Harmonic morphisms between Weyl spaces and twistorial maps. II ⋮ Twistor theory for CR quaternionic manifolds and related structures

Cites Work

• Vector bundles on complex projective spaces
• Non-realizable CR structures
• Holomorphic extension of CR functions
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• On maximal families of compact complex submanifolds of complex manifolds
• A theorem of completeness of characteristic systems for analytic families of compact submanifolds of complex manifolds

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