Lift curves and ruled surfaces

This study consists of four chapters submitted as a master's thesis. The first chapter is prepared as an introduction and literature review about lift curves and ruled surfaces are given. In the second chapter, some basic concepts about lift curves and ruled surfaces in 3-dimensional Minkowski space are given. In the third chapter, Darboux vectors are calculated according to whether the curve and its lift curve are timelike and spacelike and the ruled surface χ(s,v) is defined by these obtained vectors in 3-dimensional Minkowski space. The sitriction curve, distribution parameter (dral), Gaussian curvature and mean curvature of the ruled surface are calculated. In addition, an example of the results obtained is given. In the fourth chapter, the results related to the findings obtained in the thesis are given.