Energy of the fermi-walker derivatives of magnetic curves according to the bishop frame in the space

Abstract

Fermi-Walker derivative and the energy of magnetic curves have an important place in physics and differential geometry. In this study, we calculate the Fermi-Walker derivatives of T, N-1, N-2 magnetic curves according to the Bishop frame in the space. Moreover, we obtain the energy of the Fermi-Walker derivative of magnetic curves according to the Bishop frame in space. Finally, we have energy relations of some vector fields associated with Bishop frame in the space.