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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 39 Issue: 3

SOME CHARACTERIZATIONS OF SLANT HELICES IN THE EUCLIDEAN SPACE En

Some Characterizations of Slant Helices in the Euclidean Space En

Ahmad T. Ali
Melih Turgut
Sayfa
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Yayın Tarihi
2010-03-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we give some characterizations of slant helices in terms of type-2 harmonic curvatures.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this work, the notion of a slant helix is extended to the space En First, we introduce the type-2 harmonic curvatures of a regular curve.
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Temel Bulgular & Veri:Thereafter, by using this, we present some necessary and sufficient conditions for a curve to be a slant helix in Euclidean n-space.
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Sonuç & Katkı:Finally, we give some characterizations of slant helices in terms of type-2 harmonic curvatures.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Euclidean n-space · Frenet equations · Slant helices

Abstract

In this work, the notion of a slant helix is extended to the space En First, we introduce the type-2 harmonic curvatures of a regular curve. Thereafter, by using this, we present some necessary and sufficient conditions for a curve to be a slant helix in Euclidean n-space. We also express some integral characterizations of such curves in terms of the curvature functions. Finally, we give some characterizations of slant helices in terms of type-2 harmonic curvatures.

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Bu Makaleye Atıf Yap

Ali, A. T., Turgut, M. (2010). SOME CHARACTERIZATIONS OF SLANT HELICES IN THE EUCLIDEAN SPACE En. Hacettepe Journal of Mathematics and Statistics, Volume: 39 Issue: 3. https://ajindex.com/articles/1403698

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