Some curvature properties on Lorentzian $\beta$-Kenmotsu manifold with a semi-symmetric semi-metric connection

Abstract

The object of the present paper is to study quasi conformal curvature tensor and conformal curvature tensor on Lorentzian $\beta$-Kenmotsu manifold with a semi-symmetric semi-metric connection. Moreover, we consider quasi conformally flat, $\xi$-quasi conformally flat, $\phi$-conformally semisymmetric and conformally flat Lorentzian $\beta$-Kenmotsu manifold with a semi-symmetric semi-metric connection and obtain the scalar curvature $r$ in each case.