Higher order Levi forms on homogeneous CR manifolds

DOI10.1007/s00209-020-02691-6zbMath1482.32028arXiv2006.16576OpenAlexW3129816185MaRDI QIDQ2231144

Costantino Medori, Stefano Marini, Mauro Nacinovich

Publication date: 29 September 2021

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

Full work available at URL: https://arxiv.org/abs/2006.16576

zbMATH Keywords

Levi degeneracyLie algebra extensionLie pairCR algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Real submanifolds in complex manifolds (32V40) Finite-type conditions on CR manifolds (32V35) Root systems (17B22)

Related Items (2)

CR-relatives Kähler manifolds ⋮ On finitely nondegenerate closed homogeneous CR manifolds

Cites Work

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• On a class of symmetric CR manifolds
• Complex analytic coordinates in almost complex manifolds
• On representations and compactifications of symmetric Riemannian spaces
• Cycle spaces of flag domains. A complex geometric viewpoint
• On the topology of minimal orbits in complex flag manifolds
• Local biholomorphic straightening of real submanifolds
• Complete nondegenerate locally standard CR manifolds
• Orbits of real forms, Matsuki duality and CR-cohomology
• Algebras of infinitesimal CR automorphisms
• Orbit duality for flag manifolds
• On extrinsic symmetric CR-structures on the manifolds of complete flags
• Aspects of the Levi form
• Locally homogeneous finitely nondegenerate CR-manifolds
• On differential systems, graded Lie algebras and pseudo-groups
• Orbits of real forms in complex flag manifolds
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
• On transitive contact and CR algebras

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