Journals / Hagia Sophia Journal of Geometry / 2021 / Cilt: 3 Sayı: 2

On Spacelike $(1,3)$-Bertrand Curves in $E_{2}^{4}$

Tuba Ağırman Aydın(BAYBURT ÜNİVERSİTESİ, BAYBURT EĞİTİM FAKÜLTESİ)0000-0001-8034-0723
Hüseyin Kocayiğit(MANİSA CELÂL BAYAR ÜNİVERSİTESİ)
Pages
1–11
Publication Date
2021-12-27
DOI
—
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AI Summary & Key Takeaways

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

Moreover, the characterizations of spacelike (1,3)-Bertrand curves is given in $E_{2}^{4}$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, it is proved that, no special spacelike Frenet curve is a Bertrand curve in $E_{2}^{4}$.
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Key Findings & Data:Therefore, a generalization of spacelike Bertrand curve is defined and this is called as spacelike $(1,3)$-Bertrand curve in $E_{2}^{4}$.
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Conclusion & Impact:Moreover, the characterizations of spacelike (1,3)-Bertrand curves is given in $E_{2}^{4}$.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Semi-Euclidean space · spacelike Bertrand curves · spacelike (1

Abstract

In this paper, it is proved that, no special spacelike Frenet curve is a Bertrand curve in $E_{2}^{4}$. Therefore, a generalization of spacelike Bertrand curve is defined and this is called as spacelike $(1,3)$-Bertrand curve in $E_{2}^{4}$. Moreover, the characterizations of spacelike (1,3)-Bertrand curves is given in $E_{2}^{4}$.

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Cite This Article

Aydın, T. A., Kocayiğit, H. (2021). On Spacelike $(1,3)$-Bertrand Curves in $E_{2}^{4}$. Hagia Sophia Journal of Geometry, Cilt: 3 Sayı: 2, 1–11. https://ajindex.com/articles/1490448

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