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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 9

D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve

Süleyman Şenyurt(ORDU UNIVERSITY)0000-0003-1097-5541
Pages
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Publication Date
2018-12-28
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally we defined Smarandache curves generated by the Sabban frame and give some characterizations of them.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we first gave the Darboux vector according to the alternative frame.
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Key Findings & Data:Then we formed a Sabban frame of spherical indicatrix curve of D- alternative vector defined by a differentiable curve.
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Conclusion & Impact:Finally we defined Smarandache curves generated by the Sabban frame and give some characterizations of them.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Sabban frame · alternative frame

Abstract

In this study, we first gave the Darboux vector according to the alternative frame. Then we formed a Sabban frame of spherical indicatrix curve of D- alternative vector defined by a differentiable curve. Then the geodesic curvature of this vector is calculated according to this frame. Finally we defined Smarandache curves generated by the Sabban frame and give some characterizations of them.

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Cite This Article

Şenyurt, S. (2018). D- Smarandache Curves According to the Sabban Frame of the Spherical Indicatrix Curve. Turkish Journal of Mathematics and Computer Science, Volume: 9. https://ajindex.com/articles/1324935

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References (7)

  1. Ali, A. T., Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, 2(2010), 30–36.
  2. Bektaş, O., Yüce, S.,Special Smarandache Curves According to Darboux Frame in Euclidean 3- Space, Romanian Journal of Mathematicsand Computer Science, 3(1)(2013), 48–59.
  3. Do Carmo, M. P., Differential Geometry of Curves and Surfaces, Prentice Hall, Englewood Cliffs, NJ, 1976.
  4. Kaya, O., Önder M., New Partner Curves In The Euclidean 3-Space E3, International Journal of Geometry, 6(2)(2017), 41–50.
  5. Taşköprü, K., Tosun, M., Smarandache curves on S 2, Boletim da Sociedade Paranaense de Matematica 3 Srie.,32 (1)(2014), 51–59.
  6. Turgut, M., Yılmaz S., Smarandache Curves in Minkowski Space-time, International J. Math. Combin., 3(2008), 51–55.
  7. Taşköprü, K., Tosun, M., Smarandache curves on S 2, Boletim da Sociedade Paranaense de Matematica 3 Srie.,32 (1)(2014), 51–59.