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Radical transversal screen semi-slant lightlike submanifolds of indefinite Sasakian manifolds

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Abstract

In this paper, we introduce the notion of radical transversal screen semi-slant lightlike submanifolds of indefinite Sasakianmanifolds giving some non-trivial examples and give characterization theorem of such submanifolds. Integrability conditions of distributions D 1, D 2 and RadTM on radical transversal screen semi-slant lightlike submanifolds of indefinite Sasakian manifolds have been obtained. Further we obtain necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic. We also study mixed geodesic radical transversal screen semi-slant lightlike submanifolds of indefinite Sasakian manifolds.

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Authors and Affiliations

  1. Department of Mathematics, University of Allahabad, Allahabad, 211002, India

    S. S. Shukla & Akhilesh Yadav

Authors
  1. S. S. Shukla
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  2. Akhilesh Yadav
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Correspondence to S. S. Shukla.

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Submitted by V. V. Lychagin

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Shukla, S.S., Yadav, A. Radical transversal screen semi-slant lightlike submanifolds of indefinite Sasakian manifolds. Lobachevskii J Math 36, 160–168 (2015). https://doi.org/10.1134/S199508021502016X

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  • DOI: https://doi.org/10.1134/S199508021502016X

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