General Mathematics


On The Darboux Vector Belonging To Involute Curve A Different View

Authors: Süleyman SENYURT, Yasin ALTUN, Ceyda CEVAHIR

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.

Comments: 8 Pages.

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Submission history

[v1] 2017-01-03 12:47:38

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