Magnetic Curves According to Bishop Frame and Type-2 Bishop Frame in Euclidean 3-Space
Ahmet Kazan *
Department of Computer Technologies, Sürgü Vocational School of Higher Education, İnönü University, Malatya, Turkey
H. Bayram Karadağ
Department of Mathematics, Faculty of Arts and Sciences, İnönü University, Malatya, Turkey.
*Author to whom correspondence should be addressed.
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.
Keywords: Magnetic curves, lorentz force, frenet frame, bishop frame, type-2 bishop frame