On The Darboux Vector Belonging To Involute Curve A Different View

Year 2016, Volume: 4 Issue: 2, 131 - 138, 30.10.2016

Süleyman Şenyurt Yasin Altun Ceyda Cevahir

https://doi.org/10.36753/mathenot.421466

Cited By: 3

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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