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Serret-Frenet Formulas for Octonionic Curves

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YÜCE, Salim

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SOC PARANAENSE MATEMATICA

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10.5269/bspm.v38i3.34780
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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.

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BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA

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0037-8712

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