Orbits of real forms in complex flag manifolds

preprint2009arXivOpen access

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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Orbits of real forms in complex flag manifolds

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