Radical transversal SCR-lightlike submanifolds of indefinite Sasakian manifolds
Filomat, Tome 35 (2021) no. 8, p. 2585

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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 non-trivial examples of such submanifolds. Integrability conditions of distributions D 1 , D 2 , 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
DOI : 10.2298/FIL2108585S
Classification : 53C15, 53C40, 53C50
Keywords: Semi-Riemannian manifold, radical distribution, screen distribution, Gauss and Weingarten formulae
S S Shukla; Akhilesh Yadav. Radical transversal SCR-lightlike submanifolds of indefinite Sasakian manifolds. Filomat, Tome 35 (2021) no. 8, p. 2585 . doi: 10.2298/FIL2108585S
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     author = {S S Shukla and Akhilesh Yadav},
     title = {Radical transversal {SCR-lightlike} submanifolds of indefinite {Sasakian} manifolds},
     journal = {Filomat},
     pages = {2585 },
     year = {2021},
     volume = {35},
     number = {8},
     doi = {10.2298/FIL2108585S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2108585S/}
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