Abstract:
This paper presents a study of the W9
-curvature tensor on Lorentzian Para-Kenmotsu manifolds, expanding
upon existing research to explore areas including W9
flatness, ξ − W9
flatness, φ − W9
flatness, and W9
-
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 W9
-curvature tensor within this context.
Keywords: Para-contact metric manifold, Lorentzian almost paracontact manifold, Lorentzian Para-
Kenmotsu manifold, Einstein manifold, η −Einstein manifold, W9
-curvature tensor, W9 flat, ξ − W9
flat,
φ − W9
flat, and W9
-semi-symmetric.
