Research Article

Tzitzeica Smarandache Curves in Euclidean 3- Space

Volume: 7 Number: 1 June 30, 2024
EN

Tzitzeica Smarandache Curves in Euclidean 3- Space

Abstract

The aim of this study is to examine the relations between Tzitzeica curves and Smarandache curves in Euclidean space. In addition, the necessary and sufficient conditions for Smarandache curves to be Tzitzeica curves in 3-dimensional Euclidean space are investigated and examples are given.

Keywords

Thanks

Destekleri için Prof. Dr. Bengü BAYRAM hocama teşekkürlerimi sunuyorum.

References

  1. M. Turgut, S. Yilmaz, “Smarandache curves in Minkowski space-time”, International J. Math. Combin., vol. 3, pp. 51-55, 2008.
  2. A. T. Ali, “Special Smarandache curve in the Euclidean space”, International J. Math. Combin., vol. 2, pp. 30-36, 2010.
  3. S. Şenyurt, S. Sivas, “An application of Smarandache curve”, Ordu Univ. J. Sci. Tech., vol. 3, no. 1, pp. 46-60, 2013.
  4. V. Bulut, A. Caliskan, “Spherical images of special Smarandache curves in E^3”, International J. Math. Combin., vol. 3, pp. 43-54, 2015. H. S. Abdel-Aziz, M. Khaalifa Saad, “Computation of Smarandache curves according to Darboux frame in Minkowski 3-space”, Journal of the Egyptian Mathematical Society, vol. 25, pp. 382-390, 2017.
  5. M. Elzawy, “Smarandache curves in Euclidean 4-space E^4 ”, Journal of the Egyptian Mathematical Society, vol. 25, pp. 268-271, 2017.
  6. S. Şenyurt, B. Öztürk, “Smarandache curves of Anti-Salkowski curve according to Frenet frame”, Proceedings of The International Conference on Mathematical Studies and Application, Karamanoğlu Mehmetbey University, Karaman, Turkey, 4-6 October 2018.
  7. S. Lal, “Smarandache curves in Euclidean space of parallel transport frame”, Journal of Energing Technologies and Innovative Research, vol. 6, no. 7, 2019.
  8. M. Altın, A. Kazan and H. B. Karadağ, “Hypersurface families with Smarandache curves in Galilean 4-space”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 70, no. 2, pp. 744-761, 2021.

Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Publication Date

June 30, 2024

Submission Date

June 7, 2024

Acceptance Date

June 14, 2024

Published in Issue

Year 2024 Volume: 7 Number: 1

APA
Karacan, O., & Bayram, B. (2024). Tzitzeica Smarandache Curves in Euclidean 3- Space. Natural and Applied Sciences Journal, 7(1), 61-77. https://doi.org/10.38061/idunas.1497563
AMA
1.Karacan O, Bayram B. Tzitzeica Smarandache Curves in Euclidean 3- Space. Natural and Applied Sciences Journal. 2024;7(1):61-77. doi:10.38061/idunas.1497563
Chicago
Karacan, Orhan, and Bengü Bayram. 2024. “Tzitzeica Smarandache Curves in Euclidean 3- Space”. Natural and Applied Sciences Journal 7 (1): 61-77. https://doi.org/10.38061/idunas.1497563.
EndNote
Karacan O, Bayram B (June 1, 2024) Tzitzeica Smarandache Curves in Euclidean 3- Space. Natural and Applied Sciences Journal 7 1 61–77.
IEEE
[1]O. Karacan and B. Bayram, “Tzitzeica Smarandache Curves in Euclidean 3- Space”, Natural and Applied Sciences Journal, vol. 7, no. 1, pp. 61–77, June 2024, doi: 10.38061/idunas.1497563.
ISNAD
Karacan, Orhan - Bayram, Bengü. “Tzitzeica Smarandache Curves in Euclidean 3- Space”. Natural and Applied Sciences Journal 7/1 (June 1, 2024): 61-77. https://doi.org/10.38061/idunas.1497563.
JAMA
1.Karacan O, Bayram B. Tzitzeica Smarandache Curves in Euclidean 3- Space. Natural and Applied Sciences Journal. 2024;7:61–77.
MLA
Karacan, Orhan, and Bengü Bayram. “Tzitzeica Smarandache Curves in Euclidean 3- Space”. Natural and Applied Sciences Journal, vol. 7, no. 1, June 2024, pp. 61-77, doi:10.38061/idunas.1497563.
Vancouver
1.Orhan Karacan, Bengü Bayram. Tzitzeica Smarandache Curves in Euclidean 3- Space. Natural and Applied Sciences Journal. 2024 Jun. 1;7(1):61-77. doi:10.38061/idunas.1497563

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