We consider canonical fibrations and algebraic geometric structures on homogeneous CR manifolds, in connection with the notion of CR algebra. We give applications to the classifications of left invariant CR structures on semisimple Lie groups and of CR-symmetric structures on complete flag varieties.
@article{BUMI_2010_9_3_2_221_0,
author = {Andrea Altomani and Costantino Medori and Mauro Nacinovich},
title = {On Homogeneous and Symmetric CR Manifolds},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {3},
year = {2010},
pages = {221-265},
zbl = {1214.32009},
mrnumber = {2666357},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2010_9_3_2_221_0}
}
Altomani, Andrea; Medori, Costantino; Nacinovich, Mauro. On Homogeneous and Symmetric CR Manifolds. Bollettino dell'Unione Matematica Italiana, Tome 3 (2010) pp. 221-265. http://gdmltest.u-ga.fr/item/BUMI_2010_9_3_2_221_0/
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