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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2018 / Cilt: 8 Sayı: 2

Euclidean Curves with Incompressible Canonical Vector Field

Kadri Arslan(ULUDAĞ ÜNİVERSİTESİ)
Yılmaz Aydın(ULUDAĞ ÜNİVERSİTESİ)
Eray Demirbaş(ULUDAĞ ÜNİVERSİTESİ)
Aziz Yazla(ULUDAĞ ÜNİVERSİTESİ)
Pages
70–82
Publication Date
2018-12-28
DOI
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AI Summary & Key Takeaways

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

Further we obtain some results of the Euclidean curves with incompressible canonical vector fields in -dimensional Euclidean space E 4 .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present study we consider Euclidean curves with incompressible canonical vector fields.
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Key Findings & Data:We investigate such curves in terms of their curvature functions.
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Conclusion & Impact:Further we obtain some results of the Euclidean curves with incompressible canonical vector fields in -dimensional Euclidean space E 4 .
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Generalized helix · Salkowski curve · Regular curve

Abstract

In the present study we consider Euclidean curves with incompressible canonical vector fields. We investigate such curves in terms of their curvature functions. Recently, B.Y. Chen gave classification of plane curves with incompressible canonical vector fields. For higher dimensional case we gave a complete classification of Euclidean space curves with incompressible canonical vector fields. Further we obtain some results of the Euclidean curves with incompressible canonical vector fields in -dimensional Euclidean space E 4 .

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Cite This Article

Arslan, K., Aydın, Y., Demirbaş, E., Yazla, A. (2018). Euclidean Curves with Incompressible Canonical Vector Field. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 8 Sayı: 2, 70–82. https://ajindex.com/articles/1352314

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References (9)

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