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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
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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:Research Article
📍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
AYDIN, T. A., KOCAYİĞİT, 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/762894