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arXiv · 1707.03935

Special Smarandache Curves with Respect to Darboux Frame in the Galilean 3-Space

Tevfik Şahin·Merve Okur
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Abstract

In the present paper, we investigate special Smarandache curves with Darboux apparatus with respect to Frenet and Darboux frame of an arbitrary curve on a surface in the three-dimensional Galilean space G3. Furthermore, we give general position vectors of special Smarandache curves of geodesic, asymptotic and curvature line on the surface in G3. As a result of this, we provide some related examples of these curves.

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Tevfik Şahin, Merve Okur. 2017-07-13. Special Smarandache Curves with Respect to Darboux Frame in the Galilean 3-Space. https://arxiv.org/abs/1707.03935

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