Orbits of real forms in complex flag manifolds
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 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
Altomani, Andrea 1; Medori, Costantino 2; Nacinovich, Mauro 3

1 University of Luxembourg, 162a, avenue de la Faïencerie, L-2309 Luxembourg
2 Dipartimento di Matematica, Università di Parma, Viale G. P. Usberti, 53/A, 43100 Parma, Italia
3 Dipartimento di Matematica, II Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italia
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Altomani, Andrea; Medori, Costantino; Nacinovich, Mauro. Orbits of real forms in complex flag manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 9 (2010) no. 1, pp. 69-109. http://archive.numdam.org/item/ASNSP_2010_5_9_1_69_0/

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