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Research Article | Open Access

Adjoint curves of special Smarandache curves with respect to Bishop frame

Department of Motor Vehicles and Transportation Technologies, Vocational School of Technical Sciences, Hitit University, Çorum 19100, Turkey
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Abstract

In this paper, adjoint curves generated by means of integral curves of special Smarandache curves with respect to the Bishop frame in three-dimensional Euclidean space were introduced. Relations between the main curve and the Bishop apparatus of these adjoint curves were obtained. Some important results were given concerning the slant helix and general helix of these curves. Finally, these findings were illustrated with figures.

Keywords

adjoint curvesSmarandache curvesgeneral helixslant helixBishop frame

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AIMS Mathematics
Volume 9 Issue 12,
December 2024
Pages 35355-35376
DOI: 10.3934/math.20241680

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Cite this article:
Damar E. Adjoint curves of special Smarandache curves with respect to Bishop frame. AIMS Mathematics, 2024, 9(12): 35355-35376. https://doi.org/10.3934/math.20241680

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Received: 18 October 2024
Revised: 03 December 2024
Accepted: 11 December 2024
Published: 15 December 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)