Orbits of real forms in complex flag manifolds

dc.creatorAltomani, Andrea
dc.creatorMedori, Costantino
dc.creatorNacinovich, Mauro
dc.date2006-11-24
dc.date2006-11-26
dc.date.accessioned2026-07-07T07:33:18Z
dc.date.available2026-07-07T07:33:18Z
dc.descriptionWe 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.
dc.description58 pages, AMS-TeX v2 typographical changes
dc.identifierhttps://arxiv.org/abs/math/0611755
dc.identifierhttp://arxiv.org/abs/math/0611755
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119408
dc.subjectComplex Variables
dc.subjectDifferential Geometry
dc.subject32V05 (Primary); 14M15, 17B20, 22E15, 32M10, 32V40, 53C30 (Secondary)
dc.titleOrbits of real forms in complex flag manifolds
dc.typetext

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