Propertıes and characterızatıons of Mannheım curves

This study consists of four chapters. The first section is the introduction of this study. In this section information in the literature about the studies on the Mannheim curves and AW(k)-type curves were studied. In the second chapter, basic definitions and theorems are presented and general facts have been given. In the third chapter, basic information about the Darboux frame of a curve lying on a surface is given and the definition and characterizations of Mannheim partner D-curve in 3-dimensional Euclidean space are given. In the fourth chapter, curves of AW(k)-type are expressed according to Darboux frame and weakened AW(k)-type Mannheim curves are expressed. This section is the original part of this study.