INEXTENSIBLE FLOWS OF CURVES ACCORDING TO SABBAN FRAME IN GALILEAN SPACE G3

Abstract

In this paper inextensible ows of curves in 3-dimensional Galilean space is researched. Firstly Sabban frame is dened in 3-dimensional Galilean space, then necessary and sucient conditions for inextensible ows of curves with Sabban frame in 3-dimensional Galilean space are given. Also inextensible curve ow are expressed as a partial dierential equation involving geodesic curvature according to this frame.