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 YYY.PNG-magnetic, XXXX.PNG-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 andYYY1.PNG-magnetic,XXXX1.PNG-magnetic, B-magnetic trajectory of 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


How to Cite

Kazan, Ahmet, and H. Bayram Karadağ. 2017. “Magnetic Curves According to Bishop Frame and Type-2 Bishop Frame in Euclidean 3-Space”. Journal of Advances in Mathematics and Computer Science 22 (4):1-18. https://doi.org/10.9734/BJMCS/2017/33330.

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