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http://dx.doi.org/10.5666/KMJ.2013.53.2.207

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

Jain, Varun (Department of Mathematics, Multani Mal Modi College)
Kumar, Rakesh (University College of Engineering, Punjabi University)
Nagaich, Rakesh Kumar (Department of Mathematics, Punjabi University)
Publication Information
Kyungpook Mathematical Journal / v.53, no.2, 2013 , pp. 207-218 More about this Journal
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;
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