RECTIFYING CURVES IN THE LIGHTLIKE CONE

Abstract

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 Q2. For this firstly, we determine the curvatures of the rectifying curve in Q2 . Then, with the help of these curvatures, we obtain the parametric representations of all rectifying curves in Q2. Finally, we give various examples to support the theoretical results and show their images in the lightlike cone.