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arXiv · 1812.10396

Natural mates of non-null Frenet curves in Minkowski 3-space

Alev Kelleci
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Abstract

In this paper, we give the definition of the natural mate of a non-null Frenet curve in Minkowski 3-spaces. The main purpose of this paper is to prove some relationships between a non-null Frenet curve and its natural mate. In particular, we obtain some necessary and suffcient conditions for the natural mate of a non-null Frenet curve to be a slant helix, a spherical curve, or a curve of constant curvature. Several applications of our main results are also presented.

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Alev Kelleci. 2018-11-27. Natural mates of non-null Frenet curves in Minkowski 3-space. https://arxiv.org/abs/1812.10396

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