Serret-Frenet formulas for octonionic curves

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

Resumo

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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Biografia do Autor

Özcan Bektaş, Recep Tayyip Erdogan University Department of Mathematics
Mathmatics
Publicado
2019-02-18
Edição
v. 38 n. 3 (2020)
Seção
Artigos

Copyright (c) 2019 Boletim da Sociedade Paranaense de Matemática

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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