Study of W9: Curvature Tensors on Lorentzian Para-Kenmotsu Manifolds
Author(s): FN Mburu, PW Njori, CN Gitonga and SK Moindi
Abstract: This paper presents a study of the W_9-curvature tensor on Lorentzian para-Kenmotsu manifolds, expanding upon existing research to explore areas including W_9 flatness, ξ-W_9 flatness, ϕ-W_9 flatness, and W_9 -semi-symmetric on LP-Kenmotsu manifolds. Lorentzian Para-Kenmotsu manifolds satisfying the conditions;
Q.W9=0,W9.Q=0,R.W9=0, and W9.W9=0.
The findings enhance knowledge of the geometric properties of these manifolds and offer fresh insights into the behavior of the W_9-curvature tensor within this context.
FN Mburu, PW Njori, CN Gitonga, SK Moindi. Study of W9: Curvature Tensors on Lorentzian Para-Kenmotsu Manifolds. Int J Stat Appl Math 2024;9(6S):07-16. DOI: 10.22271/maths.2024.v9.i6Sa.1866