Title of article
Notes on magnetic curves in 3D semi-Riemannian manifolds
Author/Authors
ÖZDEMİR, ZEHRA Ankara Üniversitesi - Faculty of Science - Department of Mathematics, Turkey , GÖK, İSMAİL Ankara Üniversitesi - Faculty of Science - Department of Mathematics, Turkey , YAYLI, YUSUF Ankara Üniversitesi - Faculty of Science - Department of Mathematics, Turkey , EKMEKCİ, FAİK NEJAT Ankara Üniversitesi - Faculty of Science - Department of Mathematics, Turkey
From page
412
To page
426
Abstract
A magnetic field is defined by the property that its divergence is zero in three-dimensional semi-Riemannian manifolds. Each magnetic field generates a magnetic flow whose trajectories are curves γ, called magnetic curves. In this paper, we investigate the effect of magnetic fields on the moving particle trajectories by variational approach to the magnetic flow associated with the Killing magnetic field on three-dimensional semi-Riemannian manifolds. We then investigate the trajectories of these magnetic fields and give some characterizations and examples of these curves.
Keywords
Special curves , vector fields , flows , ordinary differential equations
Journal title
Turkish Journal of Mathematics
Journal title
Turkish Journal of Mathematics
Record number
2531559
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