Serret-Frenet formulas for octonionic curves

Ã–zcan BektaÅŸ; Salim YÃ¼ce

doi:10.5269/bspm.v38i3.34780

Serret-Frenet formulas for octonionic curves

Authors

Ã–zcan BektaÅŸ Recep Tayyip Erdogan University Department of Mathematics
Salim YÃ¼ce Yildiz Technical University Department of Mathematics http://orcid.org/0000-0002-8296-6495

DOI:

https://doi.org/10.5269/bspm.v38i3.34780

Keywords:

Serret-Frenet formulas, spatial octonionic curve, octonionic curve, curvature, torsion

Abstract

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.