Fermi-Walker and normal Fermi-Walker derivatives of some special serret-frenet vector fields

In this thesis, Bertrand and Mannheim curve pairs in 3-dimensional Euclidean space are defined separately and Fermi-Walker and Normal Fermi-Walker derivatives are calculated along Serret-Frenet vector fields. Then, it is investigated whether the same vector fields are parallel in the Fermi-Walker sense. The thesis consists of five main parts. First part is includes an introduction. In the second part, basic definitions, theorems, and features are included. In the third part, the materials and methods used in the preparation of the thesis are mentioned. In the fourth part, findings related to Fermi-Walker derivative and Normal Fermi-Walker derivative in Bertrand curves and Mannheim curves are presented. In the fifth part, evaluations are made regarding the datas obtained based on the findings.