On the Characterizations between Curvature Strip Curves & Ruled Surfaces in the Lorentz Space

Abstract

In this work, we study the conditions characterizing relations between curvature strip curves and ruled surfaces in the Lorentz space. For this study,we establish a system of differential equations characterizing both spacelike and timelike ruled surfaces in the Lorentz space by using the invariants of curvature strip curves on the given ruled surfaces. We obtain the solutions of these systems for special cases. Regarding to these special solutions, we give some characterizations of relations between curvature strip curves and ruled surfaces in the Lorentz space.