Derivative of Fermi-Walker and parallel curves

In this thesis, the parallel curve of a curve in Euclidean 3-space is defined and the Fermi-Walker derivative of the parallel curve is calculated throught the Serret-Frenet vector fields. Then, the parallelism of the same vector fields according to the Fermi-Walker derivative was examined. The thesis consists of five main parts. First part is seperated for 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 in parallel curves are presented. In the fifth part, evalatuions are made about the datas obtained as a result of the study.