Radical transversal SCR-lightlike submanifolds of indefinite Sasakian manifolds | Zendy

S. S. Shukla | Zendy; Akhılesh Yadav | Zendy

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Radical transversal SCR-lightlike submanifolds of indefinite Sasakian manifolds

Author(s) -

S. S. Shukla,

Akhılesh Yadav

Publication year - 2021

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2108585s

Subject(s) - transversal (combinatorics) , mathematics , pure mathematics , cauchy–riemann equations , totally geodesic , manifold (fluid mechanics) , cauchy distribution , mathematical analysis , mechanical engineering , engineering

In this paper, we introduce the notion of radical transversal screen Cauchy-Riemann (SCR)- lightlike submanifolds of indefinite Sasakian manifolds giving characterization theorem with some nontrivial examples of such submanifolds. Integrability conditions of distributions D1, D2, D and D? on radical transversal SCR-lightlike submanifolds of an indefinite Sasakian manifold have been obtained. Further, we obtain necessary and sufficient conditions for foliations determined by above distributions to be totally geodesic.

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