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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 2

A generalization for surfaces using a line of curvature in Lie group

Dae Won Yoon
Zühal Küçükarslan Yüzbaşı
Sayfa
444–452
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

After then, we provide some crucial examples of how efficient our method is on these surfaces.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, we investigate how to construct surfaces using a line of curvature in a 3-dimensional Lie group.
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Temel Bulgular & Veri:Then, by utilizing the Frenet frame, we give the conditions that a curve becomes a line of curvature on a surface when the marching-scale functions are more general expressions.
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Sonuç & Katkı:After then, we provide some crucial examples of how efficient our method is on these surfaces.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Surface family · Lie Group · Line of curvature

Abstract

In this study, we investigate how to construct surfaces using a line of curvature in a 3-dimensional Lie group. Then, by utilizing the Frenet frame, we give the conditions that a curve becomes a line of curvature on a surface when the marching-scale functions are more general expressions. After then, we provide some crucial examples of how efficient our method is on these surfaces.

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Bu Makaleye Atıf Yap

Yoon, D. W., Yüzbaşı, Z. K. (2022). A generalization for surfaces using a line of curvature in Lie group. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 2, 444–452. https://ajindex.com/articles/529499

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Kaynakça (11)

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