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

• Journal title : Kyungpook mathematical journal
• Volume 53, Issue 2,  2013, pp.207-218
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2013.53.2.207
Title & Authors
Integrability of Distributions in GCR-lightlike Submanifolds of Indefinite Sasakian Manifolds
Jain, Varun; Kumar, Rakesh; Nagaich, Rakesh Kumar;

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;
Language
English
Cited by
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