Smarandache Curves According to Sabban Frame Belonging to Mannheim Curves Pair

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:1
Smarandache Curves According to Sabban Frame Belonging to Mannheim Curves Pair

Smarandache Curves According to Sabban Frame Belonging to Mannheim Curves Pair

Authors : Süleyman ŞENYURT, Yasin ALTUN, Ceyda CEVAHIR

Pages : 500-513

Doi:10.31801/cfsuasmas.431877

View : 15 | Download : 11

Publication Date : 2019-02-01

Article Type : Research Paper

Abstract :In this paper, we investigate special Smarandache curves according to Sabban frame, using the idea of Mannheim partner curve of spherical indicatrix. We created Sabban frame by means of Mannheim partner curve of spherical indicatrix. We explained that position vectors of a Smarandache curves are consisted by Sabban frame given above. Then we calculated geodesic curvatures of this Smarandache curve and the results which we found after calculations are expressed by means of Mannheim partner curve of spherical indicatrix.
Keywords : Mannheim curve pair, Smarandache curve, Sabban frame, geodesic curvature

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