Abstract:
The paper investigates W3 Curvature properties of Lorentzian Para Kenmotsu manifolds satisfying the
following conditions, W3 − flatness, ξ−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(ξ, X) are
derived. W3 −flatness and connections to Einstein, η −Einstein, and special η- Einstein are investigated.
These findings enhance our understanding of the geometric properties of Lorentzian Para Kenmotsu
manifold in W3 − curvature tensors.
