# NEW VERSION OF THE MAGNETIC CURVES ACCORDING TO THE BISHOP FRAME IN ��3

Sariaydin, Muhammed T.;Korpinar, Talat

• Accepted : 2018.12.18
• Published : 2019.03.25
• 13 0

#### Abstract

In this paper, it is investigated Lorentz force equations for $N_1$ and $N_2$-magnetic curves in 3-Dimensional Euclidean space. We give the Lorentz force in the Bishop frame in ${\mathbb{E}}^3$. Then, we obtain a new characterization for a magnetic field V. Also, we also give examples for each curve.

#### Keywords

Magnetic curves;$B{\ddot{a}}cklund$ transformations;Killing magnetic field