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arXiv · 1706.05321

Legendre curves and singularities of a ruled surface according to rotation minimizing frame

Murat Bekar·Fouzi Hathout·Yusuf Yayli
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Abstract

In this paper, Legendre curves on unit tangent bundle are given using rotation minimizing (RM) vector fields. Ruled surfaces corresponding to these curves are represented. Singularities of these ruled surfaces are also analyzed and classifed.

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Murat Bekar, Fouzi Hathout, Yusuf Yayli. 2017-06-16. Legendre curves and singularities of a ruled surface according to rotation minimizing frame. https://doi.org/10.37863/umzh.v73i3.895

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