Research Article

Smarandache Curves According to Sabban Frame of the anti-Salkowski Indicatrix Curve

Volume: 2 Number: 2 December 20, 2019
EN

Smarandache Curves According to Sabban Frame of the anti-Salkowski Indicatrix Curve

Abstract

The aim of this paper is to define Smarandache curves according to the Sabban frame belonging to the spherical indicatrix curve of the anti-Salkowski curve. We also illustrate these curves with the Maple program and calculate the geodesic curvatures of these curves.

Keywords

Supporting Institution

Ordu University Scientific Research Projects Coordination Unit (BAP).

Project Number

Project Number: B-1829

References

  1. [1] E. Salkowski, Zur transformation von raumkurven, Math. Ann., 4(66) (1909), 517–557.
  2. [2] J. Monterde, Salkowski curves revisited: A family of curves with constant curvature and non-constant torsion, Comput. Aided Geom. Design, 26 (2009), 271–278.
  3. [3] A. T. Ali, Spacelike Salkowski and anti-Salkowski curves with a spacelike principal normal in Minkowski 3-space, Int. J. Open Problems Compt. Math., 2(3) (2009), 451-460.
  4. [4] A. T. Ali, Timelike Salkowski curves in Minkowski E^3_1, JARDCS, 2(1) (2010), 17-26.
  5. [5] S. Gür, S. Şenyurt, Frenet vectors and geodesic curvatures of spheric indicators of Salkowski curve in E^3, Hadronic J., 33(5) (2010), 485.
  6. [6] S. Şenyurt, B. Öztuürk, Smarandache curves of Salkowski curve according to Frenet frame, Turk. J. Math. Comput. Sci., 10(2018), 190-201.
  7. [7] S. Şenyurt, B. Öztürk, Smarandache curves of anti-Salkowski curve according to Frenet frame, Proceedings of the International Conference on Mathematical Studies and Applications (ICMSA 2018), (2018), 132-143.
  8. [8] M. Turgut, S. Yılmaz, Smarandache curves in Minkowski spacetime, Int. J. Math. Comb., 3 (2008), 51–55.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 20, 2019

Submission Date

July 20, 2019

Acceptance Date

November 5, 2019

Published in Issue

Year 2019 Volume: 2 Number: 2

APA
Şenyurt, S., & Öztürk, B. (2019). Smarandache Curves According to Sabban Frame of the anti-Salkowski Indicatrix Curve. Fundamental Journal of Mathematics and Applications, 2(2), 101-116. https://doi.org/10.33401/fujma.594670
AMA
1.Şenyurt S, Öztürk B. Smarandache Curves According to Sabban Frame of the anti-Salkowski Indicatrix Curve. Fundam. J. Math. Appl. 2019;2(2):101-116. doi:10.33401/fujma.594670
Chicago
Şenyurt, Süleyman, and Burak Öztürk. 2019. “Smarandache Curves According to Sabban Frame of the Anti-Salkowski Indicatrix Curve”. Fundamental Journal of Mathematics and Applications 2 (2): 101-16. https://doi.org/10.33401/fujma.594670.
EndNote
Şenyurt S, Öztürk B (December 1, 2019) Smarandache Curves According to Sabban Frame of the anti-Salkowski Indicatrix Curve. Fundamental Journal of Mathematics and Applications 2 2 101–116.
IEEE
[1]S. Şenyurt and B. Öztürk, “Smarandache Curves According to Sabban Frame of the anti-Salkowski Indicatrix Curve”, Fundam. J. Math. Appl., vol. 2, no. 2, pp. 101–116, Dec. 2019, doi: 10.33401/fujma.594670.
ISNAD
Şenyurt, Süleyman - Öztürk, Burak. “Smarandache Curves According to Sabban Frame of the Anti-Salkowski Indicatrix Curve”. Fundamental Journal of Mathematics and Applications 2/2 (December 1, 2019): 101-116. https://doi.org/10.33401/fujma.594670.
JAMA
1.Şenyurt S, Öztürk B. Smarandache Curves According to Sabban Frame of the anti-Salkowski Indicatrix Curve. Fundam. J. Math. Appl. 2019;2:101–116.
MLA
Şenyurt, Süleyman, and Burak Öztürk. “Smarandache Curves According to Sabban Frame of the Anti-Salkowski Indicatrix Curve”. Fundamental Journal of Mathematics and Applications, vol. 2, no. 2, Dec. 2019, pp. 101-16, doi:10.33401/fujma.594670.
Vancouver
1.Süleyman Şenyurt, Burak Öztürk. Smarandache Curves According to Sabban Frame of the anti-Salkowski Indicatrix Curve. Fundam. J. Math. Appl. 2019 Dec. 1;2(2):101-16. doi:10.33401/fujma.594670

Cited By

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