Serret-frenet formulas for octonionic curves

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info:eu-repo/semantics/openAccess

Date

2020

Author

Bektaş, Özcan
Yüce, Salim

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Citation

Bektaş, Ö. & Yüce, S. (2020). Serret-Frenet Formulas for Octonionic Curves. Boletim Sociedade Paranaense de Matematica, 38(3), 47-62. https://doi.org/10.5269/bspm.v38i3.34780

Abstract

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.

Source

Boletim Sociedade Paranaense de Matematica

Volume

38

Issue

3

URI

https://doi.org/10.5269/bspm.v38i3.34780
https://hdl.handle.net/11436/1325

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