Study of W3 curvature tensor on Lorentzian Para Kenmotsu manifolds
Author(s): FN Mburu, PW Njori, and CN Gitonga
Abstract: The paper investigates W_3 Curvature properties of Lorentzian Para Kenmotsu manifolds satisfying the following conditions, W_3-flatness, ξ〖-W〗_3=0, W_3-symmetric, W_3—semi symmetric. The behaviors of Ricci operators on Lorentzian Para Kenmotsu manifolds under the condition W_3.Q=0 and their results were discussed. Expressions for these curvature tensors while considering the condition W_3 (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 W_3- curvature tensors.
FN Mburu, PW Njori,, CN Gitonga. Study of W3 curvature tensor on Lorentzian Para Kenmotsu manifolds. Int J Stat Appl Math 2025;10(7):58-67. DOI: 10.22271/maths.2025.v10.i7a.2100
