Serret-Frenet formulas for octonionic curves

BEKTAŞ Ö., YÜCE S.

Boletim da Sociedade Paranaense de Matematica, cilt.38, sa.3, ss.47-62, 2020 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.5269/bspm.v38i3.34780
  • Dergi Adı: Boletim da Sociedade Paranaense de Matematica
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.47-62
  • Anahtar Kelimeler: Curvature, Octonionic curve, Serret-Frenet formulas, Spatial octonionic curve, Torsion
  • Samsun Üniversitesi Adresli: Hayır

Özet

In this paper, we define spatial octonionic curves (SOC) in R 7 and octonionic curves (OC) in R 8 by using octonions. Firstly, we determine Serret-Frenet equations, and curvatures of the SOC in R 7 . Then, Serret-Frenet equations for the OC in R 8 are calculated with the help of Serret-Frenet equations of SOC in R 7