2020•Tbilisi Mathematical JournalOpen access

Smarandache curves according to the Sabban frame belonging to spherical indicatrix curve of the Salkowski curve

Süleyman Şenyurt, Burak Öztürk

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Abstract

In this study, Smarandache curves are defined according to the Sabban frame by means of the spherical indicatrix curve of the Salkowski curve. Then using these curves we calculated geodesic curvatures. Finally each curve is drawn with maple program.

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In this study, Smarandache curves are defined according to the Sabban frame by means of the spherical indicatrix curve of the Salkowski curve. Then using these curves we calculated geodesic curvatures. Finally each curve is drawn with maple program.

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Available abstract

In this study, Smarandache curves are defined according to the Sabban frame by means of the spherical indicatrix curve of the Salkowski curve. Then using these curves we calculated geodesic curvatures. Finally each curve is drawn with maple program.

Key concepts: Mathematics, Geodesic, Frame (networking), Curve fitting, Geometry, Torsion of a curve, Mathematical analysis, Osculating circle

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