Adjoint curves of special Smarandache curves with respect to Bishop frame

Esra Damar; Esra Damar

doi:10.3934/math.20241680

AIMS Mathematics

2024, Volume 9, Issue 12: 35355-35376. doi: 10.3934/math.20241680

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Adjoint curves of special Smarandache curves with respect to Bishop frame

Esra Damar ^,

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

Received: 18 October 2024 Revised: 03 December 2024 Accepted: 11 December 2024 Published: 18 December 2024

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.
- adjoint curves,
- Smarandache curves,
- general helix,
- slant helix,
- Bishop frame
Citation: Esra Damar. Adjoint curves of special Smarandache curves with respect to Bishop frame[J]. AIMS Mathematics, 2024, 9(12): 35355-35376. doi: 10.3934/math.20241680

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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.

References

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