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Journals / Fundamentals of Contemporary Mathematical Sciences / 2020 / Cilt: 1 - Sayı: 2

Evolute-Involute Partner Curves According to Darboux Frame in the Euclidean 3-space E^{3}

Abdullah YILDIRIM
Feryat KAYA
Pages
63–70
Publication Date
2020-07-30
DOI
—
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AI Summary & Key Takeaways

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

Characterization of evolute-involute curves lying on the surface are examined according to Darboux frame and some curves are obtained.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The interest of special curves has increased recently.
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Key Findings & Data:Some of these are associated curves.
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Conclusion & Impact:Characterization of evolute-involute curves lying on the surface are examined according to Darboux frame and some curves are obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Curves · Surfaces · Geodesics

Abstract

The interest of special curves has increased recently. Some of these are associated curves. They are curves where one of the Frenet vectors at opposite points is linearly dependent to the other curve. One of the best examples of these curves is the evolute-involute partner curves. In this study, evolute-involute curves are researched. Characterization of evolute-involute curves lying on the surface are examined according to Darboux frame and some curves are obtained.

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Cite This Article

YILDIRIM, A., KAYA, F. (2020). Evolute-Involute Partner Curves According to Darboux Frame in the Euclidean 3-space E^{3}. Fundamentals of Contemporary Mathematical Sciences, Cilt: 1 - Sayı: 2, 63–70. https://ajindex.com/articles/759348

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References (8)

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