A New Approach for Inextensible Flows of Curves in Pseudo-Galilean Space $G_{3}^{1}$

Abstract

In this paper, inextensible flows of a spacelike curve on a ruled surface of type I in 3-dimensional pseudo-Galilean space $G_{3}^{1}$ are researched. Firstly inextensible flows of these curves according to Darboux frame are determined then necessary and sufficient conditions for inextensible flows of the curves are expressed as a partial differential equation involving the curvature with this frame in $G_{3}^{1}$.