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Dergiler / International Electronic Journal of Geometry / 2026 / Volume: 14 Issue: 1

Canal Surface Whose Center Curve is a Hyperbolic Curve with Hyperbolic Frame

Ali Uçum(KIRIKKALE UNİVERSİTY)0000-0003-0172-1531
Sayfa
—
Yayın Tarihi
2021-04-15
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Lastly, we give the geometric properties of these surfaces such that Weingarten surface, $\left( X,Y\right) $-Weingarten surface and linear Weingarten surface.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we obtain the parametrization of the canal surfaces whose center curves are the hyperbolic curves on the hyperbolic space $H^{2}$ in $% \mathbb{E}_{1}^{3}$.
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Temel Bulgular & Veri:The parametrization of the canal surface is expressed according to the hyperbolic frame given in [10].
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Sonuç & Katkı:Lastly, we give the geometric properties of these surfaces such that Weingarten surface, $\left( X,Y\right) $-Weingarten surface and linear Weingarten surface.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Canal surfaces · tubular surfaces · hyperbolic curve

Abstract

In this paper, we obtain the parametrization of the canal surfaces whose center curves are the hyperbolic curves on the hyperbolic space $H^{2}$ in $% \mathbb{E}_{1}^{3}$. The parametrization of the canal surface is expressed according to the hyperbolic frame given in [10]. Then, the parallel surface of this surface is studied. Also, we define the notion of the associated canal surface. Lastly, we give the geometric properties of these surfaces such that Weingarten surface, $\left( X,Y\right) $-Weingarten surface and linear Weingarten surface.

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Bu Makaleye Atıf Yap

Uçum, A. (2021). Canal Surface Whose Center Curve is a Hyperbolic Curve with Hyperbolic Frame. International Electronic Journal of Geometry, Volume: 14 Issue: 1. https://doi.org/10.36890/iejg.829766

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Kaynakça (14)

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