Orbits of real forms in complex flag manifolds

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We study, from the point of view of CR geometry, the orbits M of a real form G of a complex semisimple Lie group G in a complex flag manifold G/Q. In particular we characterize those that are of finite type and satisfy some Levi nondegeneracy conditions. These properties are also graphically described by attaching to them some cross-marked diagrams that generalize those for minimal orbits that we introduced in a previous paper. By constructing canonical fibrations over real flag manifolds, with simply connected complex fibers, we are also able to compute their fundamental group.
58 pages, AMS-TeX v2 typographical changes

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Complex Variables, Differential Geometry, 32V05 (Primary); 14M15, 17B20, 22E15, 32M10, 32V40, 53C30 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/119408

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611755
 http://arxiv.org/abs/math/0611755

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arXiv