Maximally homogeneous nondegenerate CR manifolds.
Medori, Costantino, Nacinovich, Mauro (2001)
Advances in Geometry
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Displaying similar documents to “The Ricci tensor of an almost homogeneous Kähler manifold.”
Maximally homogeneous nondegenerate CR manifolds.
A classification of strictly pseudoconcave homogeneous manifolds
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Complex structures on the Iwasawa manifold.
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Rukimbira, Philippe (2004)
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Space time manifolds and contact structures.
Duggal, K.L. (1990)
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Quaternionic and para-quaternionic CR structure on (4n+3)-dimensional manifolds
Dmitri Alekseevsky, Yoshinobu Kamishima (2004)
Open Mathematics
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We define notion of a quaternionic and para-quaternionic CR structure on a (4n+3)-dimensional manifold M as a triple (ω1,ω2,ω3) of 1-forms such that the corresponding 2-forms satisfy some algebraic relations. We associate with such a structure an Einstein metric on M and establish relations between quaternionic CR structures, contact pseudo-metric 3-structures and pseudo-Sasakian 3-structures. Homogeneous examples of (para)-quaternionic CR manifolds are given and a reduction construction...