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Öğe NOTES ON THE SECOND-ORDER TANGENT BUNDLES WITH THE DEFORMED SASAKI METRIC(Ankara Üniversitesi, 2021) Karaca, Kübra; Gezer, Aydın; Mağden, AbdullahThe paper deals with the second-order tangent bundle (TM)-M-2 with the deformed Sasaki metric (g) over bar over an n-dimensional Riemannian manifold (M, g). We calculate all Riemannian curvature tensor fields of the deformed Sasaki metric (g) over bar and search Einstein property of (TM)-M-2. Also the weakly symmetry properties of the deformed Sasaki metric are presented.Öğe Some Problems Concerning with Sasaki Metric on the Second-Order Tangent Bundles‡(2020) Magden, Abdullah; Gezer, Aydin; Karaca, KübraIn this paper, we consider a second-order tangent bundle equipped with Sasaki metric over aRiemannian manifold. All forms of curvature tensor fields are computed. We obtained the relationbetween the scalar curvature of the base manifold and the scalar curvature of the second-ordertangent bundle and presented some geometric results concerning with kinds of curvature tensorfields. Also, we search the weakly symmetry property of the second-order tangent bundle. Finally,we end our paper with statistical structures on the second-order tangent bundle.












