On null quaternionic curves

This thesis consists of five chapters. In the introduction, the birth and necessity of the concept of quaternion are mentioned. In the second chapter, some basic definitions and theorems of the set of quaternions and Minkowski spaces are given. Also Serret-Frenet formulas for the null quaternionic curves in Minkowski spaces are given. In the third chapter, null quaternionic Bertrand curves and null quaternionic slant helices in E_1^3 space are examined. In the fourth chapter, null quaternionic Bertrand curves and null quaternionic W-slant helices in E_1^4 space are examined. In the fifth and final chapter, parametric equations of null quaternionic W-curves in E_1^3 and E_1^4 are obtained.