Turkish Journal of Mathematics
Abstract
We define in this note a natural metric over the tangent bundle $TM$ by using a vertical deformation of Sasaki metric. First we present the geometric result concerning the Levi-Civita connection and all forms of Riemannian curvature tensors of this metric. Secondly, we study the geodesics on the tangent bundle $TM$ and unit tangent bundle $T_{1}M$. Finally, we characterize the geodesic curvatures on $T_{1}M$.
DOI
10.55730/1300-0098.3258
Keywords
Deformed Sasaki metric, geodesics, tangent bundle, unit tangent bundle
First Page
2121
Last Page
2140
Recommended Citation
DJAA, NOUR ELHOUDA and ZAGANE, ABDERRAHIM
(2022)
"On the geodesics of deformed Sasaki metric,"
Turkish Journal of Mathematics: Vol. 46:
No.
6, Article 6.
https://doi.org/10.55730/1300-0098.3258
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss6/6
