Curves in Minkowski space and their inelastic motions

This study consist of five chapters.In the first chapter, we give an historical development of the evolution problem and search through the works have been done before in literature and then describe the problem which we study in Minkowski 3- space .In the second chapter, we give the fundamental notions about Minkowski 3- space and classify the vectors in this space as spacelike, timelike and lightlike or null and also investigate the local theory of these curves based on this classification.In the third chapter, different types of the curvature of a curve and Frenet-Serre equations of the curves having different causal character in Minkowski 3- space are given and further more it is investigated the curves with constant curvature.In the fourth chapter, we study evolution equations of inelastic plane curves which is timelike and obtain the solution of evolution equation of a timelike planar curve in Minkowski 3- space .Finally, the last chapter covers general remarks and an evaluation on lighlike curves in