Geometric 3-space and multiplicative quaternions

Aslan S., BEKAR M., YAYLI Y.

International Journal of Geometric Methods in Modern Physics, cilt.20, sa.9, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 9
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1142/s0219887823501517
  • Dergi Adı: International Journal of Geometric Methods in Modern Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Geometric 3-space, multiplicative quaternions, geometric angle, geometric circle, geometric sphere, geometric rotation
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a new vector space, the three-dimensional geometric real vector space ℝ3(G), and a new number system, multiplicative quaternions ℍ(G). We give some basic algebraic properties of these concepts. We define spatial rotation in ℝ3(G) by using multiplicative quaternions. Finally, we give an example to illustrate our results.