A New Aspect of Rectifying Curves and Ruled Surfaces in Galilean 3-Space

Abstract

A curve is named as rectifying curve if its position vector always
lies in its rectifying plane. There are lots of papers about rectifying curves in
Euclidean and Minkowski spaces. In this paper, we give some relations between
extended rectifying curves and their modified Darboux vector fields in Galilean
3-Space. The other aim of the paper is to introduce the ruled surfaces whose
base curve is rectifying curve. Further, we prove that the parameter curve of
the surface is a geodesic.