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 $G_{3}^{1}$.

Keywords

• Inextensible flows
• Darboux frame
• pseudo-Galilean space

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