Serret-Frenet Formulas for Octonionic Curves
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, cilt.38, sa.3, ss.47-62, 2020 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 38 Sayı: 3
- Basım Tarihi: 2020
- Doi Numarası: 10.5269/bspm.v38i3.34780
- Dergi Adı: BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA
- Sayfa Sayıları: ss.47-62
- Recep Tayyip Erdoğan Üniversitesi Adresli: Evet
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.