Some Characterizations of Space-like Rectifying Curves in the Minkowski Space-Time

Abstract

In this work, a space-like rectifying curve with space-like principal normal in the Minkowski space-time is defined as a curve whose position vector always lies in orthogonal complement of its principal normal vector field . Also, we characterized such curves in terms of their curvature functions and we obtained the necessary and sficient conditions for such curve to be a rectifying curve.