DSpace Arşivi :: by Yazar "Mağden, Abdullah" değerine göre listeleniyor

Listeleniyor 1 - 2 / 2

NOTES ON THE SECOND-ORDER TANGENT BUNDLES WITH THE DEFORMED SASAKI METRIC
(Ankara Üniversitesi, 2021) Karaca, Kübra; Gezer, Aydın; Mağden, Abdullah
The 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.
Some Problems Concerning with Sasaki Metric on the Second-Order Tangent Bundles
(Int Electronic Journal Geometry, 2020) Mağden, Abdullah; Gezer, Aydin; Karaca, Kubra
In this paper, we consider a second-order tangent bundle equipped with Sasaki metric over a Riemannian manifold. All forms of curvature tensor fields are computed. We obtained the relation between the scalar curvature of the base manifold and the scalar curvature of the second-order tangent bundle and presented some geometric results concerning with kinds of curvature tensor fields. 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.