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Dergiler / Turkish Journal of Science / 2026 / Cilt: 7 Sayı: 1

Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I

Süleyman Şenyurt(ORDU ÜNİVERSİTESİ)0000-0003-1097-5541
Davut Canlı(ORDU UNIVERSITY)0000-0003-0405-9969
Elif Çan(ORDU UNIVERSITY)0000-0001-5870-114X
Sayfa
31–42
Yayın Tarihi
2022-04-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

An example is also given by considering the famous Viviani’s curve.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The paper introduces some new special ruled surfaces possessing the base as the TNB- Smarandache curve of Frenet frame.
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Temel Bulgular & Veri:The geometric properties such as minimality or developability of each generated surface are examined by Gauss and mean curvatures.
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Sonuç & Katkı:An example is also given by considering the famous Viviani’s curve.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Frenet frame · ruled surfaces · Smarandache geometry

Abstract

The paper introduces some new special ruled surfaces possessing the base as the TNB- Smarandache curve of Frenet frame. The geometric properties such as minimality or developability of each generated surface are examined by Gauss and mean curvatures. An example is also given by considering the famous Viviani’s curve.

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Bu Makaleye Atıf Yap

Şenyurt, S., Canlı, D., Çan, E. (2022). Some special Smarandache ruled surfaces by Frenet Frame in $E^3$ -I. Turkish Journal of Science, Cilt: 7 Sayı: 1, 31–42. https://ajindex.com/articles/1557520

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Kaynakça (14)

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  8. Ouarab, S., Smarandache Ruled Surfaces according to Frenet-Serret Frame of a Regular Curve in E3, Hindawi Abstract and Applied Analysis, Vol. 2021, Article ID 5526536, 8 pages
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  10. Ouarab,S., NC-Smarandache ruled surface and NW-Smarandache ruled surface according to alternative moving frame in $E^3$, Hindawi Journal of Mathematics,Vol. 2021, Article ID 9951434, 6 pages
  11. Turgut, N., S. Yılmaz, S., “Smarandache curves in Minkowski space-time,” International Journal of Mathematical Combinatorics, vol. 3, pp. 51–55, 2008.
  12. Ali, A.T., Special Smarandache curves in the Euclidean space, International Journal of Mathematical Combinatorics, 2(2010),30-36, 2010.
  13. Şenyurt, S., Sivas, S., An Application of Smarandache Curve, Ordu Univ. J. Sci. Tech., 3(1),46-6, 2013
  14. Ouarab,S., NC-Smarandache ruled surface and NW-Smarandache ruled surface according to alternative moving frame in $E^3$, Hindawi Journal of Mathematics,Vol. 2021, Article ID 9951434, 6 pages