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

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2023

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A new kind of partner curves 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. © 2023, University of Tartu Press. All rights reserved.

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