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arXiv · 1311.5348

A new Approach for Magnetic Curves in 3D Riemannian Manifolds

Zehra Bozkurt·Ismail Gök·Yusuf Yaylı·Faik Nejat Ekmekci
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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 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.

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Zehra Bozkurt, Ismail Gök, Yusuf Yaylı, Faik Nejat Ekmekci. 2014-09-09. A new Approach for Magnetic Curves in 3D Riemannian Manifolds. https://doi.org/10.1063/1.4870583

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