Research Article

On Smarandache Curves in Affine 3-Space

Number: 38 March 31, 2022
EN

On Smarandache Curves in Affine 3-Space

Abstract

In this paper, we introduce Smarandache curves of an affine $C^∞$-curve in affine 3-space. Besides, we present the relationship between the Frenet frames of the curve couple and the Frenet apparatus of each obtained curve.

Keywords

References

  1. H. Abdel-Aziz, M. K. Saad, Computation of Smarandache Curves According to Darboux Frame in Minkowski 3-Space, Journal of the Egyptian Mathematical Society 25(4) (2017) 382–390.
  2. A. T. Ali, Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics 2 (2010) 30–36.
  3. O. Bektaş, S. Yüce, Special Smarandache Curves According to Darboux Frame in $E^3$, Romanian Journal of Mathematics and Computer Science 3(1) (2013) 48–59.
  4. M. Çetin, Y. Tuncer, M. K. Karacan, Smarandache Curves According to Bishop Frame in Euclidean 3-Space, General Mathematics Notes 20(2) (2014) 50–66.
  5. M. Elzawy, S. Mosa, Smarandache Curves in the Galilean 4-Space G4, Journal of the Egyptian Mathematical Society 25(1) (2017) 53–56.
  6. T. Kahraman, H. H. Uğurlu, Dual Smarandache Curves and Smarandache Ruled Surfaces, Mathematical Sciences and Applications E-Notes 2(1) (2014) 83–98.
  7. E. B. Koc Ozturk, U. Ozturk, K. İlarslan, E. Nešović, On Pseudohyperbolical Smarandache Curves in Minkowski 3-Space, International Journal of Mathematics and Mathematical Sciences Article ID 658670 (2013) 7 pages.
  8. E. B. Koc Ozturk, U. Ozturk, K. İlarslan, E. Nešović, On Pseudospherical Smarandache Curves in Minkowski 3-Space, Journal of Applied Mathematics Article ID 404521 (2014) 14 pages.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

March 31, 2022

Submission Date

February 14, 2022

Acceptance Date

March 23, 2022

Published in Issue

Year 2022 Number: 38

APA
Öztürk, U., Sarıkaya, B., Haskul, P., & Emir, A. (2022). On Smarandache Curves in Affine 3-Space. Journal of New Theory, 38, 61-69. https://doi.org/10.53570/jnt.1073323
AMA
1.Öztürk U, Sarıkaya B, Haskul P, Emir A. On Smarandache Curves in Affine 3-Space. JNT. 2022;(38):61-69. doi:10.53570/jnt.1073323
Chicago
Öztürk, Ufuk, Burcu Sarıkaya, Pınar Haskul, and Ayşegül Emir. 2022. “On Smarandache Curves in Affine 3-Space”. Journal of New Theory, nos. 38: 61-69. https://doi.org/10.53570/jnt.1073323.
EndNote
Öztürk U, Sarıkaya B, Haskul P, Emir A (March 1, 2022) On Smarandache Curves in Affine 3-Space. Journal of New Theory 38 61–69.
IEEE
[1]U. Öztürk, B. Sarıkaya, P. Haskul, and A. Emir, “On Smarandache Curves in Affine 3-Space”, JNT, no. 38, pp. 61–69, Mar. 2022, doi: 10.53570/jnt.1073323.
ISNAD
Öztürk, Ufuk - Sarıkaya, Burcu - Haskul, Pınar - Emir, Ayşegül. “On Smarandache Curves in Affine 3-Space”. Journal of New Theory. 38 (March 1, 2022): 61-69. https://doi.org/10.53570/jnt.1073323.
JAMA
1.Öztürk U, Sarıkaya B, Haskul P, Emir A. On Smarandache Curves in Affine 3-Space. JNT. 2022;:61–69.
MLA
Öztürk, Ufuk, et al. “On Smarandache Curves in Affine 3-Space”. Journal of New Theory, no. 38, Mar. 2022, pp. 61-69, doi:10.53570/jnt.1073323.
Vancouver
1.Ufuk Öztürk, Burcu Sarıkaya, Pınar Haskul, Ayşegül Emir. On Smarandache Curves in Affine 3-Space. JNT. 2022 Mar. 1;(38):61-9. doi:10.53570/jnt.1073323

 

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