Slant light-like submanifolds of indefinite Sasakian manifolds (Q2867603)

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scientific article; zbMATH DE number 6241310
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Slant light-like submanifolds of indefinite Sasakian manifolds
scientific article; zbMATH DE number 6241310

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    19 December 2013
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    degenerate metric
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    Slant light-like submanifolds of indefinite Sasakian manifolds (English)
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    By taking into account the results from [\textit{B.-Y. Chen}, Bull. Aust. Math. Soc. 41, No. 1, 135--147 (1990; Zbl 0677.53060); \textit{K. L. Duggal} and \textit{B. Sahin}, Int. J. Math. Math. Sci. 2007, Article ID 57585, 21 pp. (2007; Zbl 1147.53044)] the authors introduce the notion of slant submanifold of an indefinite Sasakian manifold. The slant light-like and the screen slant light-like submanifolds are different from the Riemannian case. The co-isotropic contact CR-light-like submanifolds are characterized as being slant light-like submanifolds. Some examples are constructed and some necessary and sufficient conditions for the existence of a slant light-like submanifold are obtained.
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