Dual Transformations in Galilean Spaces

Authors : Gülsüm YÜCA, Yusuf YAYLI

Pages : 52-61

Doi:10.36890/iejg.683738

View : 10 | Download : 5

Publication Date : 2020-10-15

Article Type : Research Paper

Abstract :In this study, we define a dual transformation between $G^{n}$ and $G^{n}_{1}$. 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 $\widehat{G^{n}}$ and $\widehat{G^{n}_{1}}$ as well. We provide applications in $G^{3}$ and $G^{3}_{1}$. In addition to applications, we draw their figures in order to reinforce the visualization in both spaces. .......  .                                         ....................                                                                                                                   .
Keywords : Dual transformation, Galilean space, pseudo Galilean space, shear motion, one parameter motions