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Magnetic Trajectories on Lightlike Surfaces

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Abstract

Divergence free vector fields are called magnetic vector fields in three-dimensional semi-Riemannian manifolds. When a charged particle enters the magnetic vector field, it traces a new trajectory called magnetic curve by the influenced of magnetic field. In the present paper, we investigate the magnetic curves on the lightlike surfaces corresponding to the Killing magnetic fields in 3D semi-Riemannian manifolds. Moreover, we give some characterizations of these curves. As an application, we determine all magnetic curves on the lightlike cone. Finally, we give various examples to confirm the main results.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Arts, Amasya University, Amasya, Turkey

    Zehra Özdemir

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  1. Zehra Özdemir
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Correspondence to Zehra Özdemir.

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Özdemir, Z. Magnetic Trajectories on Lightlike Surfaces. Differ Equ Dyn Syst 31, 269–281 (2023). https://doi.org/10.1007/s12591-020-00519-7

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