Orbits of real forms in complex flag manifolds

Altomani, Andrea; Medori, Costantino; Nacinovich, Mauro

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 9 (2010) no. 1, pp. 69-109.

We investigate the CR geometry of the orbits $M$ of a real form ${𝐆}_0$ of a complex semisimple Lie group $𝐆$ in a complex flag manifold $X=𝐆/𝐐$. We are mainly concerned with finite type and holomorphic nondegeneracy conditions, canonical ${𝐆}_0$-equivariant and Mostow fibrations, and topological properties of the orbits.

Classification : 53C30, 14M15, 17B20, 32V05, 32V35, 32V40, 57T20

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