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Journals / Fundamental Journal of Mathematics and Applications / 2021 / Cilt: 4 Sayı: 4

On the Framed Normal Curves in Euclidean 4-space

Mahmut AKYİĞİT
Önder Gökmen YILDIZ
Pages
258–263
Publication Date
2021-12-01
DOI
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Furthermore, we give the necessary and sufficient condition for a framed curve to be a framed normal curve.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce the adapted frame of framed curves and we give the relations between the adapted frame and Frenet type frame of the framed curve in four-dimensional Euclidean space.
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Key Findings & Data:Moreover, we define the framed normal curves in four-dimensional Euclidean space.
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Conclusion & Impact:Furthermore, we give the necessary and sufficient condition for a framed curve to be a framed normal curve.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Framed curves · Normal curves · Singular points

Abstract

In this paper, we introduce the adapted frame of framed curves and we give the relations between the adapted frame and Frenet type frame of the framed curve in four-dimensional Euclidean space. Moreover, we define the framed normal curves in four-dimensional Euclidean space. We obtain some characterizations of framed normal curves in terms of their framed curvature functions. Furthermore, we give the necessary and sufficient condition for a framed curve to be a framed normal curve.

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Cite This Article

AKYİĞİT, M., YILDIZ, Ö. G. (2021). On the Framed Normal Curves in Euclidean 4-space. Fundamental Journal of Mathematics and Applications, Cilt: 4 Sayı: 4, 258–263. https://ajindex.com/articles/905685

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