Special null curves in minkowski space

The main topic of this study which consists of six chapters is to define the Lancret type helices and is to investigate the type of Lancret helices characterization. In the first chapter, the introduction has been given. The second chapter is devoted to basic definitions and concepts which are the main topic of the thesis. In the third chapter is devoted to Frenet frames in n-dimensional Minkowski space and helices types has been shortly introduced. In the fourth chapter, is assigned the Cartan Frames in 3-dimensional Minkowski space and it has been shown that the type of Hayden helices and the type of Lancret helices are the same in 3-dimensional Minkowski space. In the fifth chapter, it is introduced that null curves in 4-dimensional Minkowski space Cartan Frames, the equation of the type of Lancret helices for any curves were given and the Slant curves has been shortly introduced in 4-dimensional Minkowski space. In the sixth chapter, pseudo spherical null curves were introduced in 4-dimensional Minkowski space. Furthermore, it has been shown that for any null curve?s Bertrand mate does not have to null curve, it may have been spacelike or timelike.