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
Classification :
53C15, 53C40, 53C50
Keywords: Semi-Riemannian manifold, radical distribution, screen distribution, Gauss and Weingarten formulae
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
@article{10_2298_FIL2108585S,
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/}
}
TY - JOUR AU - S S Shukla AU - Akhilesh Yadav TI - Radical transversal SCR-lightlike submanifolds of indefinite Sasakian manifolds JO - Filomat PY - 2021 SP - 2585 VL - 35 IS - 8 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2108585S/ DO - 10.2298/FIL2108585S LA - en ID - 10_2298_FIL2108585S ER -
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