Open AccessRadical transversal SCR-lightlike submanifolds of indefinite Sasakian manifolds
Author(s) -
S. S. Shukla,
Akhilesh 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.