On The Darboux Vector Belonging To Involute Curve A Different View

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Mathematical Sciences and Applications E-Notes
Volume:4 Issue:2
On The Darboux Vector Belonging To Involute Curve A Different View

On The Darboux Vector Belonging To Involute Curve A Different View

Authors : Süleyman ŞENYURT, Yasin ALTUN, Ceyda CEVAHİR

Pages : 131-138

Doi:10.36753/mathenot.421466

View : 45 | Download : 9

Publication Date : 2016-10-30

Article Type : Research Paper

Abstract :In this paper, we investigated special Smarandache curves in terms of Sabban frame drawn on the surface of the sphere by the unit Darboux vector of involute curve. We created Sabban frame belonging to this curve. It was explained Smarandache curves position vector is composed by Sabban vectors belonging to this curve. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were expressed depending on the base curve. We also gave example belonging to the results found.
Keywords : involute curve, Darboux vector, Smarandache curves, Sabban frame, geodesic curvature

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