Maximally homogeneous nondegenerate CR manifolds.
Medori, Costantino, Nacinovich, Mauro (2001)
Advances in Geometry
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Medori, Costantino, Nacinovich, Mauro (2001)
Advances in Geometry
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A. T. Huckleberry, D. Snow (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ketsetzis, Georgios, Salamon, Simon (2004)
Advances in Geometry
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Oldřich Kowalski (1968)
Czechoslovak Mathematical Journal
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Andreas Krüger (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Rukimbira, Philippe (2004)
International Journal of Mathematics and Mathematical Sciences
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Duggal, K.L. (1990)
International Journal of Mathematics and Mathematical Sciences
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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...