Research Article

A New Approach For Smarandache Curves

Volume: 14 Number: 1 June 30, 2022
EN

A New Approach For Smarandache Curves

Abstract

In this paper, we introduce new adjoint curves which are associated curves in Euclidean space of three dimension. They are generated with the help of integral curves of special Smarandache curves. We attain some connections between Frenet apparatus of these new adjoint curves and main curve. We characterize these curves in which conditions they are general helix and slant helix. Finally, we exemplify them with figures.

Keywords

References

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  4. Camcı, Ç. , İlarslan, K., Kula, L., Hacısalihoğlu, H.H., Harmonic curvatures and generalized helices in $E^{n}$, Chaos-Solutions and Fractals, 40(5)(2009), 2590-2596.
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  6. Choi, J.H., Kim, Y.H., Ali, A.T., Some associated curves of Frenet non-lightlike curves in $E_{1}^{3}$ , J. Math. Anal. Appl., 394(2012), 712-723.
  7. Deshmukh, S., Chen, B.Y., Algehanemi, A., Natural Mates of Frenet Curves in Euclidean 3-space, Turk. J. of Math., 42(2018), 2826-2840.
  8. Elzawy, M., Mosa, S., Smarandache curves in the Galilean 4-space $G_{4}$ , J. of Egyptian Math. Society, 25(1)(2017), 53-56.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2022

Submission Date

October 4, 2021

Acceptance Date

May 18, 2022

Published in Issue

Year 2022 Volume: 14 Number: 1

APA
Kaya Nurkan, S., & Güven, İ. (2022). A New Approach For Smarandache Curves. Turkish Journal of Mathematics and Computer Science, 14(1), 155-165. https://doi.org/10.47000/tjmcs.1004423
AMA
1.Kaya Nurkan S, Güven İ. A New Approach For Smarandache Curves. TJMCS. 2022;14(1):155-165. doi:10.47000/tjmcs.1004423
Chicago
Kaya Nurkan, Semra, and İlkay Güven. 2022. “A New Approach For Smarandache Curves”. Turkish Journal of Mathematics and Computer Science 14 (1): 155-65. https://doi.org/10.47000/tjmcs.1004423.
EndNote
Kaya Nurkan S, Güven İ (June 1, 2022) A New Approach For Smarandache Curves. Turkish Journal of Mathematics and Computer Science 14 1 155–165.
IEEE
[1]S. Kaya Nurkan and İ. Güven, “A New Approach For Smarandache Curves”, TJMCS, vol. 14, no. 1, pp. 155–165, June 2022, doi: 10.47000/tjmcs.1004423.
ISNAD
Kaya Nurkan, Semra - Güven, İlkay. “A New Approach For Smarandache Curves”. Turkish Journal of Mathematics and Computer Science 14/1 (June 1, 2022): 155-165. https://doi.org/10.47000/tjmcs.1004423.
JAMA
1.Kaya Nurkan S, Güven İ. A New Approach For Smarandache Curves. TJMCS. 2022;14:155–165.
MLA
Kaya Nurkan, Semra, and İlkay Güven. “A New Approach For Smarandache Curves”. Turkish Journal of Mathematics and Computer Science, vol. 14, no. 1, June 2022, pp. 155-6, doi:10.47000/tjmcs.1004423.
Vancouver
1.Semra Kaya Nurkan, İlkay Güven. A New Approach For Smarandache Curves. TJMCS. 2022 Jun. 1;14(1):155-6. doi:10.47000/tjmcs.1004423

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