Notes on the second-order tangent bundles with the deformed Sasaki metric

Year 2022, Volume: 71 Issue: 2, 502 - 517, 30.06.2022

Kübra Karaca , Aydın Gezer , Abdullah Mağden

https://doi.org/10.31801/cfsuasmas.987379

Abstract

The paper deals with the second-order tangent bundle $T^{2}M$ with the deformed Sasaki metric $\overline{g}$ over an n−dimensional Riemannian manifold $(M,g)$. We calculate all Riemannian curvature tensor fields of the deformed Sasaki metric $\overline{g}$ and search Einstein property of $T^{2}M$. Also the weakly symmetry properties of the deformed Sasaki metric are presented.

Keywords

Second-order tangent bundle, deformed Sasaki metric, weakly symmetric, curvature tensor field, lifts

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