Prakasha, D.G.; Deepika, M.V.; Ünal, İnan

In this study, we investigate Lorentzian para-Kenmotsu (LP-Kenmotsu (LPK)) manifolds in the context of the generalized Tanaka-Webster connection, denoted as D*. Initially, we derive the formulas for the curvature tensor, Ricci tensor, and scalar curvature of an LPK manifold with respect to the connection D*. We analyze the geometric properties of these manifolds, including their local symmetry, Ricci semi-symmetry, and local ψ-symmetry. Furthermore, utilizing the Q-curvature tensor, we analyze conditions under which LPK manifolds exhibit Q*-flatness, Q*-Ricci semi-symmetry, and ψ-Q*-flatness concerning the connection D*.

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