Abstract:
This paper investigates the properties of W5 curvature tensors on Lorentzian Para Kenmotsu manifolds.
Properties of this Curvature tensor under various conditions on these manifolds are explored and their
geometric implications are examined. The study also includes investigations of W5 flatness, 𝜉 - 𝑊5
flatness, 𝜙 − 𝑊5 flatness and 𝑊5 -Semisymmetric on Lorentzian Para Kenmotsu manifolds and their
connections to 𝜂-Einstein, Einstein and special 𝜂 -Einstein. Additionally, The Ricci operator's behaviors
on Lorentzian Para Kenmotsu manifolds under the conditions 𝑊5.𝑄 = 0, 𝑄. 𝑊5 = 0 are analyzed.
Expressions for this curvature tensor while considering the condition W5
(𝜉, 𝑋). W5 = 0, 𝑅. W5 =
0 and 𝑊5. 𝑊5 = 0 are derived. Proves to determine whether these manifolds are flat will be provided.
The findings of this study enhance understanding of the geometric properties of Lorentzian Para
Kenmotsu manifolds in relation to W5 curvature tensors.
