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Journals / Cumhuriyet Science Journal / 2022 / Cilt: 43 Sayı: 2

On the Assocıated Curves of a Frenet Curve in R_1^4

Esra ÇİÇEK ÇETİN
Mehmet BEKTAŞ
Münevver Yıldırım YILMAZ
Pages
273–276
Publication Date
2022-06-29
DOI
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AI Summary & Key Takeaways

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

Also, an example is given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present work, we have dealt with the properties of associated curves of a Frenet curve in R14.
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Key Findings & Data:In addition to this, we define principal direction curve, B_1 -direction curve, B_2- direction curve of a given Frenet curve by using integral curves of 4-dimensional Minkowski space.
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Conclusion & Impact:Also, an example is given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Frenet curve · Associated curve · Principal -direction curve

Abstract

In the present work, we have dealt with the properties of associated curves of a Frenet curve in R14. In addition to this, we define principal direction curve, B_1 -direction curve, B_2- direction curve of a given Frenet curve by using integral curves of 4-dimensional Minkowski space. Then we introduce some characterizations for general helix and slant helix. Finally, some new associated curves and theorems obtained for space-like curves and time- like curves in R14. Also, an example is given.

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Cite This Article

ÇETİN, E. Ç., BEKTAŞ, M., YILMAZ, M. Y. (2022). On the Assocıated Curves of a Frenet Curve in R_1^4. Cumhuriyet Science Journal, Cilt: 43 Sayı: 2, 273–276. https://ajindex.com/articles/960289

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References (12)

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