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Journals / 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
Pages
346–355
Publication Date
2021-10-15
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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 Key Takeaways

🎯
Objective & Hypothesis:If there exists a quaternionic Bertrand curve in $\mathbb{E}^{4}$, then its torsion or bitorsion vanishes.
📊
Key Findings & Data:So we can say that there is no quaternionic Bertrand curves whose torsion and bitorsion are non-zero.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.

🔖

Cite This Article

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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