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arXiv · 2305.07550

Osculating mate of a Frenet curve in the Euclidean 3-space

Akın Alkan·Mehmet Önder
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Abstract

A new kind of partner curve called osculating mate of a Frenet curve is introduced. Some characterizations for osculating mate are obtained and using the obtained results some special curves such as slant helix, spherical helix, $C$-slant helix and rectifying curve are constructed.

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Akın Alkan, Mehmet Önder. 2023-05-11. Osculating mate of a Frenet curve in the Euclidean 3-space. https://arxiv.org/abs/2305.07550

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