Serret-Frenet formulas for octonionic curves

Résumé

In this paper, we dene spatial octonionic curves (SOC) in R7 and octonionic curves (OC) in R8 by using octonions. Firstly, we determine Serret-Frenet equations, and curvatures of the SROC in R7. Then, Serret-Frenet equations for the OC in R8 are calculated with the help of Serret-Frenet equations of SOC in R7.

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Biographie de l'auteur

Özcan Bektaş, Recep Tayyip Erdogan University Department of Mathematics
Mathmatics
Publiée
2019-02-18
Rubrique
Articles