A new approach for magnetic curves in 3D Riemannian manifolds

Bozkurt Z., GÖK İ., YAYLI Y., Ekmekci F. N.

JOURNAL OF MATHEMATICAL PHYSICS, cilt.55, sa.5, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 5
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1063/1.4870583
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Ankara Üniversitesi Adresli: Evet

Özet

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.