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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 1

Some characterizations of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)$

Buddhadev PAL
Akhılesh YADAV
Sayfa
235–242
Yayın Tarihi
2021-02-04
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then we find the distance function and also give the general equations of the curvature and torsion of rectifying general helices in $\mathbb{H}^3(-r)$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we study the geometry of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)$.
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Temel Bulgular & Veri:Further we obtain the distance function in terms of arc length when the rectifying curve lying in the upper half plane.
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Sonuç & Katkı:Then we find the distance function and also give the general equations of the curvature and torsion of rectifying general helices in $\mathbb{H}^3(-r)$.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:rectifying curve · general helix · geodesic

Abstract

In this paper, we study the geometry of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)$. Further we obtain the distance function in terms of arc length when the rectifying curve lying in the upper half plane. Then we find the distance function and also give the general equations of the curvature and torsion of rectifying general helices in $\mathbb{H}^3(-r)$.

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Bu Makaleye Atıf Yap

PAL, B., YADAV, A. (2021). Some characterizations of rectifying curves in the 3-dimensional hyperbolic space $\mathbb H^{3}(-r)$. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 1, 235–242. https://ajindex.com/articles/669338

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Kaynakça (8)

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