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Dergiler / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2026 / Volume: 42 Issue: 4

New moving frames for the curves lying on a surface

Akın Alkan(Gördes Vocational School, Manisa Celal Bayar University, Manisa, 45750,Türkiye)0000-0002-8179-9525
Hüseyin Kocayiğit(Department of Mathematics, Manisa Celal Bayar University, Manisa, 45140, Türkiye)0000-0001-6503-8243
Tuba Ağırman Aydın(Faculty of Education, Bayburt University, Bayburt, 69000, Türkiye)0000-0001-8034-0723
Sayfa
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Yayın Tarihi
2024-08-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, the Osculator Darboux Frame components and curvatures are calculated for a presented example.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this article, three new orthogonal frames are defined for the curves lying on a surface.
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Temel Bulgular & Veri:These moving frames, obtained based on the Darboux frame, are called “Osculator Darboux Frame”, “Normal Darboux Frame” and “Rectifying Darboux Frame”, respectively.
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Sonuç & Katkı:Also, the Osculator Darboux Frame components and curvatures are calculated for a presented example.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Darboux Frame · Moving Frame · Normal Darboux Vector

Abstract

In this article, three new orthogonal frames are defined for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called “Osculator Darboux Frame”, “Normal Darboux Frame” and “Rectifying Darboux Frame”, respectively. Also, the Osculator Darboux Frame components and curvatures are calculated for a presented example.

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Bu Makaleye Atıf Yap

Alkan, A., Kocayiğit, H., Aydın, T. A. (2024). New moving frames for the curves lying on a surface. Sigma Mühendislik ve Fen Bilimleri Dergisi, Volume: 42 Issue: 4. https://ajindex.com/articles/1344471

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