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Journals / Konuralp Journal of Mathematics / 2019 / Volume: 7 Issue: 2

A Note on Evolution of Quaternionic Curves in the Euclidean Space $\mathbb{R}^{4}$

Önder Gökmen Yıldız(BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ)0000-0002-2760-1223
Özlem İçer(BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ)
Pages
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Publication Date
2019-10-15
DOI
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AI Summary & Key Takeaways

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

Finally we give examples of evolution of curvatures.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we investigate the evolution of quaternionic curve in Euclidean 4-space $\mathbb{R}^{4}$.
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Key Findings & Data:We obtain evolution equations of the Frenet frame and curvatures.
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Conclusion & Impact:Finally we give examples of evolution of curvatures.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Quaternionic curve · evolution

Abstract

In this paper, we investigate the evolution of quaternionic curve in Euclidean 4-space $\mathbb{R}^{4}$. We obtain evolution equations of the Frenet frame and curvatures. Then we give integrability conditions for the evolutions. Finally we give examples of evolution of curvatures.

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Cite This Article

Yıldız, Ö. G., İçer, Ö. (2019). A Note on Evolution of Quaternionic Curves in the Euclidean Space $\mathbb{R}^{4}$. Konuralp Journal of Mathematics, Volume: 7 Issue: 2. https://ajindex.com/articles/1521723

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