Orbits of real forms in complex flag manifolds

Andrea Altomani; Costantino Medori; Mauro Nacinovich

paper

Orbits of real forms in complex flag manifolds

arXiv:0711.4484

Abstract

We investigate the $C R$ 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.

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