On the Fermi-Walker derivative by the bishop frame

In this thesis, Fermi-Walker derivatives of magnetic curves of magnetic curves T, N_1 and N_2 obtained according to the bishop frame were calculated and some important results obtained. This study consists of four parts. The first part is the introduction part and the preliminary information about this work is given. In the second chapter, basic concepts related to the subject are given under the title of Fermi-Walker derivatives method was introduced. The Fermi-Walker derivation and the Fermi-Walker parallels were studied according to the Bishop frame. In the third chapter Fermi-Walker derivatives of magnetic curves are obtained in three dimensional Euclidean space. According to the Bishop frame T,〖 N〗_1 and N_2 are characterized. In the final part of the discussion and conclusion, the results obtained here are interpreted. The results show that the Fermi-Walker derivative is an important application in geometry and especially in the motion of paralel vector fields. Key Words: Bishop frame, Fermi-Walker derivative, Magnetic curves, Magnetic field