A new approach for magnetic curves in 3D Riemannian manifolds
JOURNAL OF MATHEMATICAL PHYSICS, vol.55, no.5, 2014 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 55 Issue: 5
- Publication Date: 2014
- Doi Number: 10.1063/1.4870583
- Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Ankara University Affiliated: Yes
Abstract
A magnetic field is defined by the property that its divergence is zero in a three-dimensional oriented Riemannian manifold. Each magnetic field generates a magnetic flow whose trajectories are curves called as magnetic curves. In this paper, we give a new variational approach to study the magnetic flow associated with the Killing magnetic field in a three-dimensional oriented Riemann manifold, (M-3, g). And then, we investigate the trajectories of the magnetic fields called as N-magnetic and B-magnetic curves. (c) 2014 AIP Publishing LLC.