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- MakaleYalnız künye2025Scopus SJRQ3Symmetry and Curvature in LP-Kenmotsu Manifolds with Generalized Tanaka-Webster Connection
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*.
- MakaleAçık Erişim2021Scopus SJRQ2N(κ)−contact metric manifolds with generalized Tanaka-Webster connection
Ünal, İnan; Altın, Mustafa
In this paper, we characterize N(κ)-contact metric manifolds with generalized Tanaka-Webster connection.We obtain some curvature properties. It is proven that if an N(κ)-contact metric manifold with generalized Tanaka-Webster connection is K-contact then it is an example of generalized Sasakian space form. Also, we examine some flatness and symmetric conditions of concircular curvature tensor on an N(κ)-contact metric manifolds with generalized Tanaka-Webster connection.
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