RECTIFYING CURVES IN THE LIGHTLIKE CONE

A curve is called a rectifying curve if its position vector field always lies in its rectifying plane. In the present paper, we investigate the rectifying curves in the lightlike cone Q^2. For this firstly, we determine the curvatures of the rectifying curve in Q^2 . Then, with the help of these curvatures, we obtain the parametric representations of all rectifying curves in Q^2. Finally, we give various examples to support the theoretical results and show their images in the lightlike cone.