A new Approach for Magnetic Curves in 3D Riemannian Manifolds

Autor: Bozkurt, Zehra, Gök, Ismail, Yaylı, Yusuf, Ekmekci, Faik Nejat
Rok vydání: 2013
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1063/1.4870583
Popis: 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 studies the magnetic flow asociated with the Killing magnetic field in a three dimensional oriented Riemann manifold, And then, we investigate the trajectories of the magnetic fields called as N-magnetic and B-magnetic curves.
Comment: This paper has been withdrawn because it contains some spelling mistakes equality
Databáze: arXiv