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British Journal of Mathematics & Computer Science, ISSN: 2231-0851,Vol.: 22, Issue.: 4


Magnetic Curves According to Bishop Frame and Type-2 Bishop Frame in Euclidean 3-Space


Ahmet Kazan1* and H. Bayram Karadağ2
1Department of Computer Technologies, Sürgü Vocational School of Higher Education, İnönü University, Malatya, Turkey.
2Department of Mathematics, Faculty of Arts and Sciences, İnönü University, Malatya, Turkey.

Article Information
(1) Junjie Chen, Department of Electrical Engineering, University of Texas at Arlington, USA.
(2) Paul Bracken, Department of Mathematics, The University of Texas-Pan American, Edinburg, TX 78539, USA.
(1) Alper Osman Ogrenmis, Firat University, Turkey.
(2) Ufuk Ozturk, Cankiri Karatekin University, Turkey.
(3) Haiming Liu, Mudanjiang Normal University, P. R. China.
(4) Luis Angel Gutierrez-Mendez, Autonomous University of Puebla (BUAP), Mexico.
(5) Esra Betul Koc Ozturk, Cankr Karatekin University, Turkey.
Complete Peer review History: http://www.sciencedomain.org/review-history/19349


In this paper, we de ne the notions of T-magnetic, N1-magnetic, N2-magnetic curves according to Bishop frame and 1-magnetic, 2-magnetic, B-magnetic curves according to type-2 Bishop frame in Euclidean 3-space. Also, we obtain the magnetic vector field V when the curve is T-magnetic, N1-magnetic, N2-magnetic trajectory of V according to Bishop frame and 1-magnetic, 2-magnetic, B-magnetic trajectory of V according to type-2 Bishop frame. Finally, we give an example for magnetic curves according to Bishop frame and type-2 Bishop frame.

Keywords :

Magnetic curves; lorentz force; frenet frame; bishop frame; type-2 bishop frame.

Full Article - PDF    Page 1-18 Article Metrics

DOI : 10.9734/BJMCS/2017/33330

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