Theoretical Mathematics & Applications

2-Magnetic curves in Euclidean 3-space

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  • Abstract

    In this paper, we define the notion of 2-T-magnetic (respectively, 2-N-magnetic and 2-B-magnetic) curve according to Frenet frame in Euclidean 3-space. Also we obtain 2-magnetic vector field V when the curve is a 2-T-magnetic (respectively, 2-N-magnetic and 2-B-magnetic) trajectory of V according to Frenet frame and give some results and examples for 2-magnetic curves according to Frenet frame.

    Mathematics Subject Classification: 53C50; 53C80
    Keywords: Magnetic curves; 2-Magnetic curves; Lorentz force; Frenet frame