Characterizations timelike and spacelike curves of constant breadth in Minkowski 3-space

This thesis consists of three chapters.In the first chapter, basic definitions and theorems are given in Euclidean 3-space 3 E and inMinkowski 3-space 31E .In the second chapter, the differential equations which characterize spacelike curves of constantbreadth are given in the Minkowski 3-space 31E . Furthermore, a criterion for spacelike curves ofconstant breadth in Minkowski 3-space 31E is introduced and an example is given.In the third chapter, the differential equations characterizing timelike curves of constant breadthare given in the Minkowski 3-space 31E . Then using these equations, a criterion whichcharacterizes these curves is given. Finally a special case is considered as an example.The second and third chapters are original parts of this thesis.