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Dergiler / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 3

Notes on magnetic curves in 3D semi-Riemannian manifolds

Zehra ÖZDEMİR
Ismail GÖK
Yusuf YAYLI
Faik Nejat EKMEKÇİ
Sayfa
412–426
Yayın Tarihi
2022-11-05
DOI
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We then investigate the trajectories of these magnetic fields and give some characterizations and examples of these curves.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:A magnetic field is defined by the property that its divergence is zero in three-dimensional semi-Riemannian manifolds.
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Temel Bulgular & Veri:Each magnetic field generates a magnetic flow whose trajectories are curves $\gamma $, called magnetic curves.
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Sonuç & Katkı:We then investigate the trajectories of these magnetic fields and give some characterizations and examples of these curves.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Special curves · vector fields · flows

Özet

A magnetic field is defined by the property that its divergence is zero in three-dimensional semi-Riemannian manifolds. Each magnetic field generates a magnetic flow whose trajectories are curves $\gamma $, called magnetic curves. In this paper, we investigate the effect of magnetic fields on the moving particle trajectories by variational approach to the magnetic flow associated with the Killing magnetic field on three-dimensional semi-Riemannian manifolds. We then investigate the trajectories of these magnetic fields and give some characterizations and examples of these curves.

Abstract

A magnetic field is defined by the property that its divergence is zero in three-dimensional semi-Riemannian manifolds. Each magnetic field generates a magnetic flow whose trajectories are curves $\gamma $, called magnetic curves. In this paper, we investigate the effect of magnetic fields on the moving particle trajectories by variational approach to the magnetic flow associated with the Killing magnetic field on three-dimensional semi-Riemannian manifolds. We then investigate the trajectories of these magnetic fields and give some characterizations and examples of these curves.

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Bu Makaleye Atıf Yap

ÖZDEMİR, Z., GÖK, I., YAYLI, Y., EKMEKÇİ, F. N. (2022). Notes on magnetic curves in 3D semi-Riemannian manifolds. Turkish Journal of Mathematics, Cilt: 39 - Sayı: 3, 412–426. https://ajindex.com/articles/608210

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Kaynakça (4)

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