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Research Article Open access CC BY 4.0

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

Ahmet Kazan, H. Bayram Karadağ

Journal of Advances in Mathematics and Computer Science · pp. 1–18 · Published 5 Jun 2017

10.9734/BJMCS/2017/33330

Abstract

In this paper, we de ne the notions of T-magnetic, N1-magnetic, N2-magnetic curves according to Bishop frame and -magnetic, -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-magnetic,-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.

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

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