Notes on magnetic curves in 3D semi-Riemannian manifolds

EKMEKÇİ, Faik Nejat; (Bozkurt) Özdemir, Zehra; yaylı, yusuf; GÖK, İsmail

Notes on magnetic curves in 3D semi-Riemannian manifolds

Zehra ÖZDEMİR, (Ankara Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)

İsmail GÖK, (Ankara Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)

Yusuf YAYLI, (Ankara Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)

Faik Nejat EKMEKÇİ (Ankara Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)

Turkish Journal of Mathematics

10 0

Yıl: 2015 Cilt: 39 Sayı: 3 Sayfa Aralığı: 412 - 426 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Notes on magnetic curves in 3D semi-Riemannian manifolds

Öz:

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 γ , 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.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

TRDizin Dışındaki Atıf Sayıları

OpenCitations: 0

OpenAlex: 0

Crossref: 0

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APA	(Bozkurt) Özdemir Z, GÖK İ, yaylı y, EKMEKÇİ F (2015). Notes on magnetic curves in 3D semi-Riemannian manifolds. , 412 - 426.
Chicago	(Bozkurt) Özdemir Zehra,GÖK İsmail,yaylı yusuf,EKMEKÇİ Faik Nejat Notes on magnetic curves in 3D semi-Riemannian manifolds. (2015): 412 - 426.
MLA	(Bozkurt) Özdemir Zehra,GÖK İsmail,yaylı yusuf,EKMEKÇİ Faik Nejat Notes on magnetic curves in 3D semi-Riemannian manifolds. , 2015, ss.412 - 426.
AMA	(Bozkurt) Özdemir Z,GÖK İ,yaylı y,EKMEKÇİ F Notes on magnetic curves in 3D semi-Riemannian manifolds. . 2015; 412 - 426.
Vancouver	(Bozkurt) Özdemir Z,GÖK İ,yaylı y,EKMEKÇİ F Notes on magnetic curves in 3D semi-Riemannian manifolds. . 2015; 412 - 426.
IEEE	(Bozkurt) Özdemir Z,GÖK İ,yaylı y,EKMEKÇİ F "Notes on magnetic curves in 3D semi-Riemannian manifolds." , ss.412 - 426, 2015.
ISNAD	(Bozkurt) Özdemir, Zehra vd. "Notes on magnetic curves in 3D semi-Riemannian manifolds". (2015), 412-426.

APA	(Bozkurt) Özdemir Z, GÖK İ, yaylı y, EKMEKÇİ F (2015). Notes on magnetic curves in 3D semi-Riemannian manifolds. Turkish Journal of Mathematics, 39(3), 412 - 426.
Chicago	(Bozkurt) Özdemir Zehra,GÖK İsmail,yaylı yusuf,EKMEKÇİ Faik Nejat Notes on magnetic curves in 3D semi-Riemannian manifolds. Turkish Journal of Mathematics 39, no.3 (2015): 412 - 426.
MLA	(Bozkurt) Özdemir Zehra,GÖK İsmail,yaylı yusuf,EKMEKÇİ Faik Nejat Notes on magnetic curves in 3D semi-Riemannian manifolds. Turkish Journal of Mathematics, vol.39, no.3, 2015, ss.412 - 426.
AMA	(Bozkurt) Özdemir Z,GÖK İ,yaylı y,EKMEKÇİ F Notes on magnetic curves in 3D semi-Riemannian manifolds. Turkish Journal of Mathematics. 2015; 39(3): 412 - 426.
Vancouver	(Bozkurt) Özdemir Z,GÖK İ,yaylı y,EKMEKÇİ F Notes on magnetic curves in 3D semi-Riemannian manifolds. Turkish Journal of Mathematics. 2015; 39(3): 412 - 426.
IEEE	(Bozkurt) Özdemir Z,GÖK İ,yaylı y,EKMEKÇİ F "Notes on magnetic curves in 3D semi-Riemannian manifolds." Turkish Journal of Mathematics, 39, ss.412 - 426, 2015.
ISNAD	(Bozkurt) Özdemir, Zehra vd. "Notes on magnetic curves in 3D semi-Riemannian manifolds". Turkish Journal of Mathematics 39/3 (2015), 412-426.