Serret-Frenet formulas for octonionic curves
Bektaş, Özcan ; Yüce, Salim
Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019), / Harvested from Portal de Periódicos da UEM
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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.

Publié le : 2019-01-01
DOI : https://doi.org/10.5269/bspm.v38i3.34780 
@article{34780,
     title = {Serret-Frenet formulas for octonionic curves},
     journal = {Boletim da Sociedade Paranaense de Matem\'atica},
     volume = {38},
     year = {2019},
     doi = {10.5269/bspm.v38i3.34780},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/34780}
}

Bektaş, Özcan; Yüce, Salim. Serret-Frenet formulas for octonionic curves. Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019) . doi : 10.5269/bspm.v38i3.34780. http://gdmltest.u-ga.fr/item/34780/