Notes on the second-order tangent bundles with the deformed Sasaki metric
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Date
2022
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Publisher
Ankara Üniversitesi
Abstract
The paper deals with the second-order tangent bundle T2M with the deformed Sasaki metric ¯g over an n−dimensional Riemannian manifold (M,g). We calculate all Riemannian curvature tensor fields of the deformed Sasaki metric ¯g and search Einstein property of T2M. Also the weakly symmetry properties of the deformed Sasaki metric are presented.
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Keywords
Second-order tangent bundle, deformed Sasaki metric, weakly symmetric, curvature tensor field, lifts