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Dergiler / Konuralp Journal of Mathematics / 2021 / Cilt: 9 - Sayı: 2

Quaternionic $\left( 1,3\right) -$ Bertrand Curves According to Type 2-Quaternionic Frame in $\mathbb{R}^{4}$

Ferdağ KAHRAMAN AKSOYAK
Sayfa
346–355
Yayın Tarihi
2021-10-15
DOI
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Hence by using the method which is given by Matsuda and Yorozu [13], we give the denition of quaternionic $(1,3)-$Bertrand curve according to Type 2-Quaternionic Frame and obtain some results about these curves.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:If there exists a quaternionic Bertrand curve in $\mathbb{E}^{4}$, then its torsion or bitorsion vanishes.
📊
Temel Bulgular & Veri:So we can say that there is no quaternionic Bertrand curves whose torsion and bitorsion are non-zero.
💡
Sonuç & Katkı:Hence by using the method which is given by Matsuda and Yorozu [13], we give the denition of quaternionic $(1,3)-$Bertrand curve according to Type 2-Quaternionic Frame and obtain some results about these curves.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Quaternions · Quaternionic frame · Bertrand curve

Abstract

If there exists a quaternionic Bertrand curve in $\mathbb{E}^{4}$, then its torsion or bitorsion vanishes. So we can say that there is no quaternionic Bertrand curves whose torsion and bitorsion are non-zero. Hence by using the method which is given by Matsuda and Yorozu [13], we give the denition of quaternionic $(1,3)-$Bertrand curve according to Type 2-Quaternionic Frame and obtain some results about these curves.

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Bu Makaleye Atıf Yap

AKSOYAK, F. K. (2021). Quaternionic $\left( 1,3\right) -$ Bertrand Curves According to Type 2-Quaternionic Frame in $\mathbb{R}^{4}$. Konuralp Journal of Mathematics, Cilt: 9 - Sayı: 2, 346–355. https://ajindex.com/articles/786389

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Kaynakça (17)

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