Araştırma Makalesi

Tzitzeica Smarandache Curves in Euclidean 3- Space

Cilt: 7 Sayı: 1 30 Haziran 2024
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Tzitzeica Smarandache Curves in Euclidean 3- Space

Öz

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.

Anahtar Kelimeler

Teşekkür

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

Kaynakça

  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.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Cebirsel ve Diferansiyel Geometri

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2024

Gönderilme Tarihi

7 Haziran 2024

Kabul Tarihi

14 Haziran 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 7 Sayı: 1

Kaynak Göster

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. IDU Natural and Applied Sciences Journal (IDUNAS). 2024;7(1):61-77. doi:10.38061/idunas.1497563
Chicago
Karacan, Orhan, ve 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 (01 Haziran 2024) Tzitzeica Smarandache Curves in Euclidean 3- Space. Natural and Applied Sciences Journal 7 1 61–77.
IEEE
[1]O. Karacan ve B. Bayram, “Tzitzeica Smarandache Curves in Euclidean 3- Space”, IDU Natural and Applied Sciences Journal (IDUNAS), c. 7, sy 1, ss. 61–77, Haz. 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 (01 Haziran 2024): 61-77. https://doi.org/10.38061/idunas.1497563.
JAMA
1.Karacan O, Bayram B. Tzitzeica Smarandache Curves in Euclidean 3- Space. IDU Natural and Applied Sciences Journal (IDUNAS). 2024;7:61–77.
MLA
Karacan, Orhan, ve Bengü Bayram. “Tzitzeica Smarandache Curves in Euclidean 3- Space”. Natural and Applied Sciences Journal, c. 7, sy 1, Haziran 2024, ss. 61-77, doi:10.38061/idunas.1497563.
Vancouver
1.Orhan Karacan, Bengü Bayram. Tzitzeica Smarandache Curves in Euclidean 3- Space. IDU Natural and Applied Sciences Journal (IDUNAS). 01 Haziran 2024;7(1):61-77. doi:10.38061/idunas.1497563

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