The Rectifying Developable and Rectifying Gaussian Surface of Curves in Pseudo-Galilean Geometry

Abstract

In this paper, we give the classification of the singularities of pseudo-Galilean spherical Darboux image, rectifying Gaussian surface and the rectifying developable of curve in pseudo-Galilean space. We also establish the relationships between the singularities and geometric invariants of curves which are deeply related to its order of contact with pseudo-Galilean helices. © 2015, Universitatii Al.I.Cuza din Iasi. All rights reserved.