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A new approach for magnetic curves in 3D Riemannian manifolds.
- Source :
-
Journal of Mathematical Physics . May2014, Vol. 55 Issue 5, p1-12. 12p. 1 Diagram, 6 Graphs. - Publication Year :
- 2014
-
Abstract
- A magnetic field is defined by the property that its divergence is zero in a threedimensional oriented Riemannian manifold. Each magnetic field generates amagnetic 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, (M³, g). And then, we investigate the trajectories of the magnetic fields called as N-magnetic and Bmagnetic curves. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00222488
- Volume :
- 55
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 96332695
- Full Text :
- https://doi.org/10.1063/1.4870583