# Integrability of Distributions in GCR-lightlike Submanifolds of Indefinite Sasakian Manifolds

• Jain, Varun ;
• Kumar, Rakesh ;
• Nagaich, Rakesh Kumar
• Accepted : 2012.09.07
• Published : 2013.06.23
• 20 4

#### Abstract

In this paper, we study GCR-lightlike submanifolds of indefinite Sasakian manifold. We give some necessary and sufficient conditions on integrability of various distributions of GCR-lightlike submanifold of an indefinite Sasakian manifold. We also find the conditions for each leaf of holomorphic distribution and radical distribution is totally geodesic.

#### Keywords

Lightlike submanifold;indefinite Sasakian manifolds;GCR-lightlike submanifold

#### References

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