A new characterization between osculating strip curves and ruled surfaces in the Lorentz space

In this work, we study the conditions between osculating strip curves and ruled surfaces in the Lorentz space. For this study, we establish a system of di§erential equations characterizing both spacelike and timelike ruled surfaces in the Lorentz space by using the invariant quantities of osculating 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 results of relations between osculating strip curves and ruled surfaces in the Lorentz space.