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Integrability of Distributions in GCR-lightlike Submanifolds of Inde nite Sasakian Manifolds

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In this paper, we study GCR-lightlike submanifolds of indefinite Sasakianmanifold. We give some necessary and sufficient conditions on integrability of various distributionsof GCR-lightlike submanifold of an indefinite Sasakian manifold. We also findthe conditions for each leaf of holomorphic distribution and radical distribution is totallygeodesic.

Abstract

In this paper, we study GCR-lightlike submanifolds of indefinite Sasakianmanifold. We give some necessary and sufficient conditions on integrability of various distributionsof GCR-lightlike submanifold of an indefinite Sasakian manifold. We also findthe conditions for each leaf of holomorphic distribution and radical distribution is totallygeodesic.

참고문헌 (18)

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