Study of W3 curvature tensor on Lorentzian Para Kenmotsu manifolds

Abstract

The paper investigates W3 Curvature properties of Lorentzian Para Kenmotsu manifolds satisfying the following conditions, W3-flatness, ?-W3=0, W3-symmetric, W3—semi symmetric. The behaviors of Ricci operators on Lorentzian Para Kenmotsu manifolds under the condition W3.Q=0 and their results were discussed. Expressions for these curvature tensors while considering the condition W3 (?,X) are derived. W3-flatness and connections to Einstein,?-Einstein, and special ?- Einstein are investigated. These findings enhance our understanding of the geometric properties of Lorentzian Para Kenmotsu manifold in W3- curvature tensors.