Dual transformations in galilean spaces

In this study, we define a dual transformation between G(n) and G(1)(n). We examine the invariance of the plane where the shear motion is acting in Galilean and pseudo-Galilean spaces. We define a dual transformation between (G(n)) over cap and <(G(1)(n))over cap> as well. We provide applications in G(3) and G(1)(3). In addition to applications, we draw their figures in order to reinforce the visualization in both spaces.