- Mathematical Sciences and Applications E-Notes
- Vol: 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 Cevahir
Pages : 131-138
Doi:10.36753/mathenot.421466
View : 8 | Download : 2
Publication Date : 2016-10-30
Article Type : Research
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