Orbits of real forms in complex flag manifolds

Mathematics – Complex Variables

Scientific paper

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36 pages To appear on Annali della Scuola Normale Superiore di Pisa v2: major revision v3: version accepted for publication

Scientific paper

We investigate the $CR$ geometry of the orbits $M$ of a real form $G_0$ of a
complex simple group $G$ in a complex flag manifold $X=G/Q$. We are mainly
concerned with finite type, Levi non-degeneracy conditions, canonical
$G_0$-equivariant and Mostow fibrations, and topological properties of the
orbits.

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