Serret-Frenet formulas for octonionic curves

Ã–zcan BektaÅŸ; Salim YÃ¼ce

doi:10.5269/bspm.v38i3.34780

Serret-Frenet formulas for octonionic curves

Autores

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

Palavras-chave:

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

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.

Biografia do Autor

Ã–zcan BektaÅŸ, Recep Tayyip Erdogan University Department of Mathematics

Mathmatics

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Arquivos adicionais

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Publicado

2019-02-18

Edição

v. 38 n. 3 (2020)

Seção

Artigos

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

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

Como Citar

BektaÅŸ, Ã–zcan, & YÃ¼ce, S. (2019). Serret-Frenet formulas for octonionic curves. Boletim Da Sociedade Paranaense De Matemática, 38(3), 47-62. https://doi.org/10.5269/bspm.v38i3.34780