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http://dx.doi.org/10.5831/HMJ.2019.41.1.175

NEW VERSION OF THE MAGNETIC CURVES ACCORDING TO THE BISHOP FRAME IN 𝔼3  

Sariaydin, Muhammed T. (Department of Mathematics, Selcuk University)
Korpinar, Talat (Department of Mathematics, Mus Alparslan University)
Publication Information
Honam Mathematical Journal / v.41, no.1, 2019 , pp. 175-183 More about this Journal
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;
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