Contact co-isotropic CR submanifolds of a pseudo-Sasakian manifold.
Goldberg, Vladislav V., Rosca, Radu (1984)
International Journal of Mathematics and Mathematical Sciences
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Goldberg, Vladislav V., Rosca, Radu (1984)
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...
Goldberg, Vladislav V., Rosca, Radu (1985)
International Journal of Mathematics and Mathematical Sciences
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Mehmet Atçeken, Shyamal Kumar Hui (2013)
Czechoslovak Mathematical Journal
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We show new results on when a pseudo-slant submanifold is a LCS-manifold. Necessary and sufficient conditions for a submanifold to be pseudo-slant are given. We obtain necessary and sufficient conditions for the integrability of distributions which are involved in the definition of the pseudo-slant submanifold. We characterize the pseudo-slant product and give necessary and sufficient conditions for a pseudo-slant submanifold to be the pseudo-slant product. Also we give an example of...
Mihai, I., Nicolescu, L., Rosca, R. (1997)
Portugaliae Mathematica
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Joan Girbau, Marcel Nicolau (1979)
Collectanea Mathematica
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Abatangelo, L.Maria, Dragomir, Sorin (1990)
International Journal of Mathematics and Mathematical Sciences
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Mihai, Adela, Rosca, Radu (2004)
International Journal of Mathematics and Mathematical Sciences
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Franki Dillen, Johan Fastenakels, Stefan Haesen, Joeri Van der Veken, Leopold Verstraelen (2013)
Kragujevac Journal of Mathematics
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Matsumoto, Koji (1983)
International Journal of Mathematics and Mathematical Sciences
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Jong Taek Cho, Jun-ichi Inoguchi, Ji-Eun Lee (2009)
Colloquium Mathematicae
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A trans-Sasakian 3-manifold is pseudo-symmetric if and only if it is η-Einstein. In particular, a quasi-Sasakian 3-manifold is pseudo-symmetric if and only if it is a coKähler manifold or a homothetic Sasakian manifold. Some examples of non-Sasakian pseudo-symmetric contact 3-manifolds are exhibited.