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
- M. Turgut, S. Yilmaz, “Smarandache curves in Minkowski space-time”, International J. Math. Combin., vol. 3, pp. 51-55, 2008.
- A. T. Ali, “Special Smarandache curve in the Euclidean space”, International J. Math. Combin., vol. 2, pp. 30-36, 2010.
- S. Şenyurt, S. Sivas, “An application of Smarandache curve”, Ordu Univ. J. Sci. Tech., vol. 3, no. 1, pp. 46-60, 2013.
- 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.
- M. Elzawy, “Smarandache curves in Euclidean 4-space E^4 ”, Journal of the Egyptian Mathematical Society, vol. 25, pp. 268-271, 2017.
- 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.
- S. Lal, “Smarandache curves in Euclidean space of parallel transport frame”, Journal of Energing Technologies and Innovative Research, vol. 6, no. 7, 2019.
- 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
Cited By
Tzitzeica Smarandache Curves in Euclidean 3- Space
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