Orbits of real forms in complex flag manifolds

Altomani, Andrea; Medori, Costantino; Nacinovich, Mauro

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.

Résumé

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.

MR 2668874 | Zbl 1198.53051

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

@article{ASNSP_2010_5_9_1_69_0,
     author = {Altomani, Andrea and Medori, Costantino and Nacinovich, Mauro},
     title = {Orbits of real forms in complex flag manifolds},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     pages = {69--109},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 9},
     number = {1},
     year = {2010},
     zbl = {1198.53051},
     mrnumber = {2668874},
     language = {en},
     url = {archive.numdam.org/item/ASNSP_2010_5_9_1_69_0/}
}

Altomani, Andrea; Medori, Costantino; Nacinovich, Mauro. Orbits of real forms in complex flag manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 9 (2010) no. 1, pp. 69-109. http://archive.numdam.org/item/ASNSP_2010_5_9_1_69_0/

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