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oai:munzur-rdlopen.rawdatalibrary.net:munzur/37032026-10-28T15:39:33Zopenairedrivercom_munzur_1col_munzur_2com_munzur_8col_munzur_154

Generalized quasi-einstein manifolds in contact geometryÜnal, InanContact pairsGeneralized quasi-constant curvatureGeneralized quasi-einsteinM-projective curvature tensorIn this study, we investigate generalized quasi-Einstein normal metric contact pair manifolds. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein normal metric contact pair manifolds. Later, we explore the generalized quasi-constant curvature of normal metric contact pair manifolds. It is proved that a normal metric contact pair manifold with generalized quasi-constant curvature is a generalized quasi-Einstein manifold. Normal metric contact pair manifolds satisfying cyclic parallel Ricci tensor and the Codazzi type of Ricci tensor are considered, and further prove that a generalized quasi-Einstein normal metric contact pair manifold does not satisfy Codazzi type of Ricci tensor. Finally, we characterize normal metric contact pair manifolds satisfying certain curvature conditions related toM-projective, conformal, and concircular curvature tensors. We show that a normal metric contact pair manifold with generalized quasi-constant curvature is locally isometric to the Hopf manifold S2n+1(1) x S1.MDPI AG2020Articlehttps://rdlopen.rawdatalibrary.net/r/munzur/3703https://doi.org/10.3390/math80915922227-7390enMathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://munzur-rdlopen.rawdatalibrary.net/tr/items/munzur/3703