SMARANDACHE CURVES OF SOME SPECIAL CURVES IN THE GALILEAN 3-SPACE

Abstract

In the present paper, we consider a position vector of an arbitrary curve in the three-dimensional Galilean space <TEX>$G_3$</TEX>. Furthermore, we give some conditions on the curvatures of this arbitrary curve to study special curves and their Smarandache curves. Finally, in the light of this study, some related examples of these curves are provided and plotted.