Adjoint curves according to modified orthogonal frame in 3-space

This study consists of six chapters. In the introduction part, the purpose of the study and the reason for dealing with the subject were discussed. In addition, studies on Adjoint curves and modified orthogonal frame was mentioned. In the basic concepts section, definitions and theorems related to 3-dimensional Euclidean and Minkowski space, Adjoint curve and modified orthogonal frame are given. In the third chapter, the concept of adjoint curve of a curve in 3-dimensional Minkowski space is discussed. The fourth and fifth chapters constitute the original part of our study. First, the adjoint curve of a curve was defined in Euclidean and Minkowski spaces using a modified orthogonal frame, and the relationships between Frenet elements were calculated. Then, the adjoint curve was defined according to the torsion-modified orthogonal frame and some characterizations were given. In the last part, sample curve drawings were made using the Mathematica program.