The Fermi-Walker derivative in Minkowski 3-space

This master thesis consists of four sections. In the first section, the summary of the literature and the content of the thesis are given. The second section is devoted to basic definitions and theorems related to Euclidean and Minkowski spaces. Also, Frenet frame, Bishop frame and Fermi-Walker derivative are defined in Euclidean 3-space and Minkowski spaces. In the third section, materials and methods which are used for preparation of this thesis are given. The fourth section is divided to two chapters. In the first chapter, Fermi-Walker derivative, Fermi-Walker parallelism, non-rotating frame and Darboux vector are defined according to Frenet frame in Minkowski 3-space. Similarly in the second chapter, Fermi-Walker derivative, Fermi-Walker parallelism, non-rotating frame and Darboux vector are investigated according to Bishop frame in Minkowski 3-space. In the last section, a short assessment of this study is presented.