A new Approach for Magnetic Curves in 3D Riemannian Manifolds
Autor: | Bozkurt, Zehra, Gök, Ismail, Yaylı, Yusuf, Ekmekci, Faik Nejat |
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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 Comment: This paper has been withdrawn because it contains some spelling mistakes equality |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 |
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