Dual Transformations in Galilean Spaces

Year 2020, , 52 - 61, 15.10.2020

Gülsüm Yüca , Yusuf Yaylı

https://doi.org/10.36890/iejg.683738

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

References

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