Serret-Frenet formulas for octonionic curves
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.Downloads
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Published
2019-02-18
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