Magnetic Trajectories on Lightlike Surfaces
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, cilt.31, sa.2, ss.269-281, 2023 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 31 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.1007/s12591-020-00519-7
- Dergi Adı: DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.269-281
- Ankara Üniversitesi Adresli: Hayır
Özet
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.