Some Problems Concerning with Sasaki Metric on the Second-Order Tangent Bundles

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International Electronic Journal of Geometry
Volume:13 Issue:2
Some Problems Concerning with Sasaki Metric on the Second-Order Tangent Bundles

Some Problems Concerning with Sasaki Metric on the Second-Order Tangent Bundles

Authors : Abdullah MAĞDEN, Aydın GEZER, Kübra KARACA

Pages : 75-86

Doi:10.36890/iejg.750905

View : 46 | Download : 8

Publication Date : 2020-10-15

Article Type : Research Paper

Abstract :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.
Keywords : Curvature tensor field, lifts, econd order tangent bundle, statistical structure, weakly symmetry

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