Some Problems Concerning with Sasaki Metric on the Second-Order Tangent Bundles
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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- Yayın Aralığı: 2
- Başlangıç: 2008
- Yayıncı: Prof.Dr. H.Hilmi Hacısalioğlu