Smarandache Curves According to Sabban Frame Belonging to Mannheim Curves Pair
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Date
2019-02-01
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Ankara Üniversitesi Fen Fakültesi
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.
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Keywords
Mannheim curve pair, Smarandache curve, Sabban frame