Turkish Journal of Mathematics
Abstract
In this paper, we investigate geodesics of the tangent bundle $TM$ of a Riemannian manifold $(M,g)$ endowed with an arbitrary pseudo-Riemannian $g$-natural metric of Kaluza-Klein type. Then considering a class of naturally defined almost complex structures on $TM$, constructed by V. Oproiu, we construct a class of magnetic fields and we characterize the corresponding magnetic curves on $TM$, when $(M,g)$ is a space form.
DOI
10.55730/1300-0098.3383
Keywords
Tangent bundle, $g$-natural metric, metric of Kaluza-Klein type, geodesic, magnetic curve
First Page
620
Last Page
649
Recommended Citation
ABBASSI, MOHAMED TAHAR KADAOUI and AMRI, NOURA
(2023)
"Geodesics and natural complex magnetic trajectories on tangent bundles,"
Turkish Journal of Mathematics: Vol. 47:
No.
2, Article 15.
https://doi.org/10.55730/1300-0098.3383
Available at:
https://journals.tubitak.gov.tr/math/vol47/iss2/15
