1Karamanoğglu Mehmetbey University, Kamil Ö zdağ Science Faculty, Department of Mathematics
2Trakya University, Faculty of Science, Department of Mathematics, Edirne/Turkey
3Necmettin Erbakan University, Faculty of Sciences, Department of Mathematics-Computer Sciences, Konya/Turkey
*(Corresponding author) Email: gulhanayar@gmail.com
The aim of this study is to show that η–Einstein nearly cosymplectic manifolds are constant curvature manifolds. Also in this work, we present a complete connected nearly cosymplectic manifold is M–projectively flat if and only if it is either isometric to the sphere Sn or the real projective space.
53C15, 53D15, 53C25, Contact Manifolds, Cosymplectic Manifolds, Nearly Cosymplectic manifolds