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oai:munzur-rdlopen.rawdatalibrary.net:munzur/19542026-10-28T15:29:19Zopenairedrivercom_munzur_1col_munzur_2com_munzur_8col_munzur_154

On LP-Kenmotsu Manifold with Regard to Generalized Symmetric Metric Connection of Type (α, β)Prakasha, Doddabhadrappla GowdaBin Turki, NasserVeerabhadraswamy Deepika, MathadÜnal, İnanEinstein manifoldgeneralized symmetric metric connection of type (α, β)Lorentzian para-Kenmotsu manifoldsprojective curvature tensorIn the current article, we examine Lorentzian para-Kenmotsu (shortly, LP-Kenmotsu) manifolds with regard to the generalized symmetric metric connection (Formula presented.) of type (Formula presented.). First, we obtain the expressions for curvature tensor, Ricci tensor and scalar curvature of an LP-Kenmotsu manifold with regard to the connection (Formula presented.). Next, we analyze LP-Kenmotsu manifolds equipped with the connection (Formula presented.) that are locally symmetric, Ricci semi-symmetric, and (Formula presented.) -Ricci symmetric and also demonstrated that in all these situations the manifold is an Einstein one with regard to the connection (Formula presented.). Moreover, we obtain some conclusions about projectively flat, projectively semi-symmetric and (Formula presented.) -projectively flat LP-Kenmotsu manifolds concerning the connection (Formula presented.) along with several consequences through corollaries. Ultimately, we provide a 5-dimensional LP-Kenmotsu manifold example to validate the derived expressions.Multidisciplinary Digital Publishing Institute (MDPI)2024Articlehttps://rdlopen.rawdatalibrary.net/r/munzur/1954https://doi.org/10.3390/math121829152227-7390enMathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://munzur-rdlopen.rawdatalibrary.net/tr/items/munzur/1954