General Mathematics

   

Smarandache Curves According to Sabban Frame for Darboux Vector of Mannheim Partner Curve

Authors: Suleyman Senyurt, Yasin Altun, Ceyda Cevahir

In this paper, we investigated special Smarandache curves belonging to Sabban frame drawn on the surface of the sphere by Darboux vector of Mannheim partner curve. We created Sabban frame belonging to this curve. It was explained Smarandache curves position vector is consisted by Sabban vectors belonging to this curve. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were expressed depending on the Mannheim curve.

Comments: 6 Pages.

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Submission history

[v1] 2017-11-02 03:18:55

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