Abstract
The present paper deals with the study of different classes of concircular curvature tensor on Lorentzian para-Sasakian manifold admitting a quarter-symmetric metric connection.
Highlights
We study a type of quarter-symmetric metric connection on Lorentzian paraSasakian manifolds
Quasi-concircularly flat and φ -concircularly flat Lorentzian para-Sasakian manifolds with respect to the quarter-symmetric metric connection have been studied in section five and six respectively
We investigate Ricci-semisymmetric manifolds with respect to the quarter-symmetric metric connection of a Lorentzian para-Sasakian manifold
Summary
A Riemannian manifold M is said to be semi-symmetric if its curvature tensor R satisfies R(U,V ).R = 0, where R(U,V ) acts on R as a derivation and it is called Ricci-semisymmetric manifold if the relation R(U,V ).S = 0 holds, where R(U,V ) the curvature operator. Curvature tensor and Ricci tensor of Lorentzian para-Sasakian manifold with respect to the quarter-symmetric metric connection are given. Section four is devoted to study ξ -concircularly flat Lorentzian para-Sasakian manifold with respect to the quarter-symmetric metric connection. Quasi-concircularly flat and φ -concircularly flat Lorentzian para-Sasakian manifolds with respect to the quarter-symmetric metric connection have been studied in section five and six respectively. We investigate Ricci-semisymmetric manifolds with respect to the quarter-symmetric metric connection of a Lorentzian para-Sasakian manifold
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