On null Mannheim curves in Minkowski space

This thesis consists of four chapters. The first chapter is devoted to the introduction section, the literature information about the studies on the Mannheim curves are given. In the second chapter, basic definitions and concepts have been given. In the third chapter, the definition of Mannheim curves in 3-dimensional Minkowski space is given and some characterizations of null Mannheim curves and pseudo null Mannheim curves are obtained and the examples of such curves are given. In the fourth chapter, the definition of Mannheim curves in 4-dimensional Minkowski space is given and some characterizations of null Mannheim curves is studied. The relations between the curvature functions and the frames of the generalized null Mannheim curves and generalized Mannheim partner curves of theirs are obtained and the examples of such curves are given.