On a class of symmetric CR manifolds

DOI10.1016/J.AIM.2004.03.005zbMath1068.53035OpenAlexW1976645608MaRDI QIDQ705990

Mauro Nacinovich, Antonio Lotta

Publication date: 16 February 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2004.03.005

zbMATH Keywords

Levi-Tanaka algebraMinimal orbit in a complex flag manifoldparabolic CR algebrasymmetric CR manifold

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35) Lie groups (22Exx)

Related Items (7)

Homogeneous models for Levi degenerate CR manifolds ⋮ Riemannian almost CR manifolds with torsion ⋮ On some classes of \(\mathbb{Z}\)-graded Lie algebras ⋮ \(CR\)-admissible \(\mathbb Z_2\)-gradations and \(CR\)-symmetries ⋮ Higher order Levi forms on homogeneous CR manifolds ⋮ On the local equivalence of homogeneous CR-manifolds ⋮ Generalized pseudohermitian manifolds

Cites Work

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• On representations and compactifications of symmetric Riemannian spaces
• Classification of Z-graded real semisimple Lie algebras
• Classification of semisimple Levi-Tanaka algebras
• Complete nondegenerate locally standard CR manifolds
• On symmetric Cauchy-Riemann manifolds
• Maximally homogeneous nondegenerate CR manifolds
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
• Kählerian Coset Spaces of Semisimple Lie Groups

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