Smarandache Curves of Mannheim Curve Couple According to Frenet Frame

Year 2017, Volume: 5 Issue: 1, 122 - 136, 30.04.2017

Süleyman Şenyurt Abdussamet Çalışkan

https://doi.org/10.36753/mathenot.421717

Cited By: 4

Abstract

In this paper, when the Frenet vectors of the partner curve of Mannheim curve are taken as the position
vectors, the curvature and the torsion of Smarandache curves are calculated. These values are expressed
depending upon the Mannheim curve. Besides, we illustrate example of our main results. 

Keywords

Mannheim curve, Mannheim partner curve, Smarandache Curves, Frenet invariants

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