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Öğe On Nearly Alpha-Cosymplectic Manifolds(2019) Demirhan, D.; Ayar, GülhanIn this study, we have tried to construct some geometric properties, curvature properties and basic properties of ?-nearly cosymplectic manifolds by defining these kind of manifolds.Öğe On Some Curvature Conditions of Nearly Alpha-Cosymplectic Manifolds.(2019) Ayar, Gülhan; Demirhan, D.In the present study, we have focused on nearly alpha cosymplectic manifolds. After defining nearly ??cosymplectic manifolds, we have tried to show certain curvature conditions and basic properties of nearly ??cosymplectic manifolds.Öğe Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-symmetric Metric Connection.(2019) Ayar, Gülhan; Demirhan, D.In this work, we give some basic informations about Ricci solitons on nearly Kenmotsu manifolds and some structures on this manifolds satisfying semi-symmetric metric connection. Then we consider some important results and theorems of Ricci solitons on Ricci-recurrent and ? ?recurrent nearly Kenmotsu manifolds with semi-symmetric metric connection. Also final part of the present paper, we study Ricci solitons on quasi-projectively flat nearly Kenmotsu manifolds with semi-symmetric metric connection.Öğe Ricci Solitons on Nearly Kenmotsu Manifolds with Semi-Symmetric Metric Connection.(2019) Demirhan, D.; Ayar, GülhanIn recent years, Ricci flows (Bejan and Crasmareanu 2014) have been an interesting research topic in Mathematics especially in differential geometry. On a compact Riemannian manifold M with Riemannian metric g, the Ricci flow equation is given by ?g/?t=-2Ricg such that Ricg is defined as Ricci curvature tensor and t is time. A soliton which is similar to the Ricci flow and which moves only with a one-parameter of the diffeomorphism family and the family of scaling is called a Ricci soliton (Hamilton 1988). On a Riemannian manifold (M,g), the Ricci soliton is defined by (LYg)(X,Y)+2(S(X,Y)+2?g(X,Y)=0. such that S is the Ricci tensor associated to g (the Ricci tensor S is a constant multiple of g), LY denoted the Lie derivative operator along the vector field and ? is a real scalar (Nagaraja and Venu 2016).Öğe Some Curvature Properties of Contact Manifolds.(2018) Ayar, Gülhan; Demirhan, D.; Aktan, N.In this paper we have studied curvature properties of contact manifolds and some relations between curvature tensors of a n dimensional differentiable manifold of differentiability class c with a 1,1 tensor feld , the associated vector field , a contact form and the associated Riemannianmetric g .Öğe Structure of Nearly Cosymplectic Manifolds(2021) Ayar, Gülhan; Demirhan, D.The main purpose of this paper is to study the structure of nearly ?? cosymplectic manifolds and some basic curvature relations of this manifolds satisfying some conditions where ? is real defined.
