On Kenmotsu metric spaces satisfying some conditions on the $W_7$-curvature tensor

Abstract

This research article is about the geometry of the Kenmotsu manifold. Some important properties such as the $W_{7}\cdot W_{5}=0$, $W_{7}\cdot W_{6}=0$, $W_{7}\cdot W_{7}=0$ , $W_{7}\cdot W_{8}=0$, $\ W_{7}\cdot W_{9}=0$ \ and $\ W_{7}\cdot W_{0}^{\star }=0$ curvature conditions of the Kenmotsu manifold have been investigated.