Author(s): FN Mburu, PW Njori and CN Gitonga

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 W_5. 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.

DOI: 10.22271/maths.2025.v10.i7b.2109

Pages: 150-160 | Views: 223 | Downloads: 10

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