ON HOMOGENEOUS CR MANIFOLDS AND THEIR CR ALGEBRAS

DOI10.1142/S0219887806001430zbMath1113.32006arXivmath/0510635MaRDI QIDQ3426893

Andrea Altomani, Costantino Medori

Publication date: 13 March 2007

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510635

zbMATH Keywords

complex flag manifoldparabolic CR algebraminimal orbit of a real form

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Grassmannians, Schubert varieties, flag manifolds (14M15) General properties and structure of real Lie groups (22E15) Simple, semisimple, reductive (super)algebras (17B20) CR structures, CR operators, and generalizations (32V05)

Related Items (1)

On finitely nondegenerate closed homogeneous CR manifolds

Cites Work

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• On maximal subgroups of real Lie groups
• Intertwining operators into Dolbeault cohomology representations
• Real hypersurfaces in complex manifolds
• Schubert varieties and cycle spaces
• Invariant CR structures on compact homogeneous manifolds
• Compact homogeneous CR manifolds
• Algebras of infinitesimal CR automorphisms
• On pseudo-conformal transformations of hypersurfaces
• Groups acting transitively on compact CR manifolds of hypersurface type
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components

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