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Öğe On generalized weakly symmetric ?-cosymplectic manifolds(Hacettepe Univ, Fac Sci, 2021) Beyendi, Selahattin; Yildirim, MustafaThis study is concerned with some results on generalized weakly symmetric and generalized weakly Ricci-symmetric alpha-cosymplectic manifolds. We prove the necessary and sufficient conditions for an alpha-cosymplectic manifold to be generalized weakly symmetric and generalized weakly Ricci-symmetric. On the basis of these results, we give one proper example of generalized weakly symmetric alpha-cosymplectic manifolds.Öğe SOME NOTES ON NEARLY COSYMPLECTIC MANIFOLDS(Honam Mathematical Soc, 2021) Yildirim, Mustafa; Beyendi, SelahattinIn this paper, we study some symmetric and recurrent conditions of nearly cosymplectic manifolds. We prove that Ricci-semisymmetric and Ricci-recurrent nearly cosymplectic manifolds are Einstein and conformal flat nearly cosymplectic manifold is locally isometric to Riemannian product R x N, where N is a nearly Kahler manifold.