Study of W9: Curvature tensor on lorentzian para-Kenmotsu Manifolds

Abstract

This paper presents a study of the W_9-curvature tensor on Lorentzian para-Kenmotsu manifolds, expanding upon existing research to explore areas including W_9 flatness, ξ-W_9 flatness, ϕ-W_9 flatness, and W_9 -semi-symmetric on LP-Kenmotsu manifolds. Lorentzian Para-Kenmotsu manifolds satisfying the conditions; Q.W9=0,W9.Q=0,R.W9=0, and W9.W9=0.The findings enhance knowledge of the geometric properties of these manifolds and offer fresh insights into the behavior of the W_9-curvature tensor within this context.