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Dergiler / Fundamental Journal of Mathematics and Applications / 2019 / Volume: 2 Issue: 2

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

Süleyman Şenyurt(ORDU UNIVERSITY)0000-0003-1097-5541
Burak Öztürk0000-0001-9998-4924
Sayfa
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Yayın Tarihi
2019-12-20
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We also illustrate these curves with the Maple program and calculate the geodesic curvatures of these curves.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:We also illustrate these curves with the Maple program and calculate the geodesic curvatures of these curves.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Anti-Salkowski curve · Sabban frame · Smarandache curves

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.

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Bu Makaleye Atıf Yap

Şenyurt, S., Öztürk, B. (2019). Smarandache Curves According to Sabban Frame of the anti-Salkowski Indicatrix Curve. Fundamental Journal of Mathematics and Applications, Volume: 2 Issue: 2. https://doi.org/10.33401/fujma.594670

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Kaynakça (14)

  1. E. Salkowski, Zur transformation von raumkurven, Math. Ann., 4(66) (1909), 517–557.
  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. 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. A. T. Ali, Timelike Salkowski curves in Minkowski E^3_1, JARDCS, 2(1) (2010), 17-26.
  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. S. Şenyurt, B. Öztuürk, Smarandache curves of Salkowski curve according to Frenet frame, Turk. J. Math. Comput. Sci., 10(2018), 190-201.
  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. M. Turgut, S. Yılmaz, Smarandache curves in Minkowski spacetime, Int. J. Math. Comb., 3 (2008), 51–55.
  9. A. T. Ali, Special Smarandache curves in the Euclidean space, Int. J. Math. Comb., 2 (2010), 30–36.
  10. S. Şenyurt, A. Çalışkan, N*C*-Smarandache curves of Mannheim curve couple according to Frenet frame, Int. J. Math. Comb., 1 (2015), 1-15.
  11. S. Şenyurt, B. Öztürk, anti-Salkowski eg˘risine ait Frenet vekto¨rlerinden elde edilen Smarandache eğrileri, Karadeniz 1. Uluslararası Multidisipliner Çalışmalar Kongresi, Giresun, (2019), 463-471.
  12. J. Koenderink, Solid Shape, MIT Press, Cambridge, MA, 1990.
  13. K. Taşköprü, M. Tosun, Smarandache curves according to Sabban frame on S2, Bol. Soc. Paran. Mat., 32 (2014), 51-59.
  14. M. P. Do Carmo, Differential Geometry of Curves and Surfaces: Revised and Updated Second Edition, Courier Dover Publications, 2016.