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oai:munzur-rdlopen.rawdatalibrary.net:munzur/13412026-10-28T15:07:05Zopenairecom_munzur_1col_munzur_2com_munzur_8col_munzur_154

Symmetry and Curvature in LP-Kenmotsu Manifolds with Generalized Tanaka-Webster ConnectionPrakasha, D.G.Deepika, M.V.Ünal, İnanEinstein manifoldGeneralized Tanaka-Webster ConnectionLorentzian para-Kenmotsu manifoldsQ-curvature tensorIn 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*.Prof. Dr. Mehmet Zeki SARIKAYA2025Articlehttps://rdlopen.rawdatalibrary.net/r/munzur/13412147-625XenKonuralp Journal of Mathematicsinfo:eu-repo/semantics/closedAccessinfo:eu-repo/semantics/articlehttps://munzur-rdlopen.rawdatalibrary.net/tr/items/munzur/1341