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Journals / International Electronic Journal of Geometry / 2026 / Volume: 15 Issue: 1

Framed Curves and Their Applications Based on a New Differential Equation

Bahar Doğan Yazıcı(BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ)0000-0001-5690-4840
Sıddıka Özkaldı Karakuş(BİLECİK ŞEYH EDEBALİ ÜNİVERSİTESİ)0000-0002-2699-4109
Murat Tosun(SAKARYA ÜNİVERSİTESİ)0000-0002-4888-1412
Pages
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Publication Date
2022-04-30
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AI Summary & Key Takeaways

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

Moreover, these are support by some examples and figures.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Characterization is very important for non-regular curves in differential geometry.
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Key Findings & Data:In this paper, the differential equation is obtained by using distance squared functions for framed curves with for each $p,q\neq 0$ framed curvatures in Euclidean space.
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Conclusion & Impact:Moreover, these are support by some examples and figures.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:framed curves · framed spherical curves · framed helices

Abstract

Characterization is very important for non-regular curves in differential geometry. Recently, the concept of framed curve has been proposed to examine a non-regular curve. Framed curves are defined as smooth curves with a moving frame that can have singular points. In this paper, the differential equation is obtained by using distance squared functions for framed curves with for each $p,q\neq 0$ framed curvatures in Euclidean space. Next, we give the relationships between this differential equation and some special curves. Moreover we intoduce a new equation of framed helices with the help of this differential equation. Moreover, these are support by some examples and figures.

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Cite This Article

Yazıcı, B. D., Karakuş, S. Ö., Tosun, M. (2022). Framed Curves and Their Applications Based on a New Differential Equation. International Electronic Journal of Geometry, Volume: 15 Issue: 1. https://doi.org/10.36890/iejg.875477

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