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Journals / Turkish Journal of Mathematics and Computer Science / 2020 / Cilt: 12 - Sayı: 1

Chord Properties of Some Special Curves in Euclidean Space

Emre ÖZTÜRK
Yusuf YAYLI
Pages
39–44
Publication Date
2022-11-02
DOI
—
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AI Summary & Key Takeaways

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

Moreover, we show thatthese curves are the geodesics of the isoparametric surfaces such as spheres, right circular cylinders and sphericalcylinders.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we define some special curves through the chord that combines two different points ofthe curve on it, and we examine relations of these curves each other.
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Key Findings & Data:Especially, these curves have been characterized by their unit tangent vector field itself with symmetric and skew symmetric matrix.
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Conclusion & Impact:Moreover, we show thatthese curves are the geodesics of the isoparametric surfaces such as spheres, right circular cylinders and sphericalcylinders.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we define some special curves through the chord that combines two different points ofthe curve on it, and we examine relations of these curves each other. Especially, these curves have been characterized by their unit tangent vector field itself with symmetric and skew symmetric matrix. Moreover, we show thatthese curves are the geodesics of the isoparametric surfaces such as spheres, right circular cylinders and sphericalcylinders.

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Cite This Article

ÖZTÜRK, E., YAYLI, Y. (2022). Chord Properties of Some Special Curves in Euclidean Space. Turkish Journal of Mathematics and Computer Science, Cilt: 12 - Sayı: 1, 39–44. https://ajindex.com/articles/609104

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References (1)

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