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Dergiler / International Electronic Journal of Geometry / 2019 / Cilt: 12 - Sayı: 2

Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space

Bülent ALTUNKAYA
Sayfa
229–240
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

After that, we characterize rectifying slant helices which are geodesics of 2n-dimensional cone.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this work, we study slant helices in the n-dimensional Euclidean space.
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Temel Bulgular & Veri:By means of these methods, first we characterize slant helices and Salkowski curves which lie on 2n-dimensional hyperboloid.
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Sonuç & Katkı:After that, we characterize rectifying slant helices which are geodesics of 2n-dimensional cone.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Slant helix · Salkowski curve · rectifying curve

Abstract

In this work, we study slant helices in the n-dimensional Euclidean space. We give methods to determine the position vectors of slant helices from arclength parameterized curves that lie on the unit hypersphere. By means of these methods, first we characterize slant helices and Salkowski curves which lie on 2n-dimensional hyperboloid. After that, we characterize rectifying slant helices which are geodesics of 2n-dimensional cone.

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Bu Makaleye Atıf Yap

ALTUNKAYA, B. (2022). Slant Helices that Constructed from Hyperspherical Curves in the n-dimensional Euclidean Space. International Electronic Journal of Geometry, Cilt: 12 - Sayı: 2, 229–240. https://ajindex.com/articles/539642

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Kaynakça (21)

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