New moving frames for the curves lying on a surface

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Sigma Mühendislik ve Fen Bilimleri Dergisi
Volume:42 Issue:4
New moving frames for the curves lying on a surface

New moving frames for the curves lying on a surface

Authors : Akın Alkan, Hüseyin Kocayiğit, Tuba Ağırman Aydın

Pages : 1023-1029

View : 30 | Download : 13

Publication Date : 2024-08-01

Article Type : Research Paper

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.
Keywords : Darboux Frame, Moving Frame, Normal Darboux Vector, Osculator Darboux Vector, Rectifying Darboux Vector

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