Study of W۷- curvature tensor on (LPK)n manifolds

In this paper, we study the characteristics of n-dimensional Lorentzian para-Kenmotsu manifolds (briefly, (LP K)n) endowed with the W۷-curvature tensor. First,we analyzed (LP K)n manifolds under the condition W۷(X, Y, Z, ξ) = ۰. Next,we explore (LP K)n manifolds satisfying the W۷-semisymmetric condition, ϕ-W۷-symmetric condition, and ϕ-W۷-flat condition. Moreover, we discuss Lorentzianpara-Kenmotsu manifolds under the condition W۷(U, V ) · R = ۰, and prove thatsuch manifolds reduce to Einstein manifolds. Finally, all the relevant results havebeen verified through an example.

کلیدواژه ها:

Lorentzian para-Kenmotsu manifold ، Ricci flat ، Einstein manifold ، W۷-semisymmetric