Serret-Frenet Formulas for Octonionic Curves


Bektas O. , YÜCE S.

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.38, ss.47-62, 2020 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 38 Konu: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.5269/bspm.v38i3.34780
  • Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
  • Sayfa Sayıları: ss.47-62

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.