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, M. T, & AMRI, N (2023). Geodesics and natural complex magnetic trajectories on tangent bundles. Turkish Journal of Mathematics 47 (2): 620-649. https://doi.org/10.55730/1300-0098.3383
