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Dergiler / Konuralp Journal of Mathematics / 2019 / Cilt: 7 Sayı: 2

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

Önder Gökmen YILDIZ
Özlem İÇER
Sayfa
462–469
Yayın Tarihi
2019-10-15
DOI
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Finally we give examples of evolution of curvatures.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we investigate the evolution of quaternionic curve in Euclidean 4-space $\mathbb{R}^{4}$.
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Temel Bulgular & Veri:We obtain evolution equations of the Frenet frame and curvatures.
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Sonuç & Katkı:Finally we give examples of evolution of curvatures.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

YILDIZ, Ö. G., İÇER, Ö. (2019). A Note on Evolution of Quaternionic Curves in the Euclidean Space $\mathbb{R}^{4}$. Konuralp Journal of Mathematics, Cilt: 7 Sayı: 2, 462–469. https://ajindex.com/articles/908882

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Kaynakça (16)

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