Turkish Journal of Mathematics
Article Title
DOI
10.55730/1300-0098.3258
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 $T_{1}M$.
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
