Dual Transformations in Galilean Spaces

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YÜCA G., YAYLI Y.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.13, sa.2, ss.52-61, 2020 (ESCI, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.36890/iejg.683738
  • Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.52-61
  • Anahtar Kelimeler: dual transformation, Galilean space, pseudo-Galilean space, shear motion, one-parameter motions
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Evet

Özet

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.