New moving frames for the curves lying on a surface
1Manisa Celal Bayar University, Gördes Vocational School, Gördes, Manisa, Türkiye
2Manisa Celal Bayar University, Department of Mathematics, Manisa, Türkiye
3Bayburt University, Faculty of Education, Bayburt, Türkiye
2Manisa Celal Bayar University, Department of Mathematics, Manisa, Türkiye
3Bayburt University, Faculty of Education, Bayburt, Türkiye
Sigma J Eng Nat Sci - DOI: 10.14744/sigma.2023.00049
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: Moving Frame; Darboux Frame; Osculator Darboux vector; Normal Darboux vector; Rectifying Darboux vector
