Dergiler / Journal of Universal Mathematics / 2021 / Cilt: 4 Sayı: 2

SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3

Şenay Alıç(KAHRAMANMARAŞ SÜTÇÜ İMAM ÜNİVERSİTESİ)0000-0001-9375-3746
Beyhan Yılmaz(KAHRAMANMARAŞ SÜTÇÜ İMAM ÜNİVERSİTESİ)0000-0002-5091-3487
Sayfa
140–156
Yayın Tarihi
2021-07-31
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, we will obtain frame elements, curvature and torsion of these curves.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, we focus on Smarandache curves which is a special class of curves.
📊
Temel Bulgular & Veri:These curves have previously been studied by many authors in different spaces.
💡
Sonuç & Katkı:Also, we will obtain frame elements, curvature and torsion of these curves.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Euclidean Space · Frenet frame · Smarandache Curves

Abstract

In this study, we focus on Smarandache curves which is a special class of curves. These curves have previously been studied by many authors in different spaces. We will re-characterize these curves with the help of an alternative frame different from Frenet frame. Also, we will obtain frame elements, curvature and torsion of these curves.

🔖

Bu Makaleye Atıf Yap

Alıç, Ş., Yılmaz, B. (2021). SMARANDACHE CURVES ACCORDING TO ALTERNATIVE FRAME IN E^3. Journal of Universal Mathematics, Cilt: 4 Sayı: 2, 140–156. https://doi.org/10.33773/jum.956862

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (9)

  1. H.H. Hacısalihoglu, The Motion Geometry and Quatenions Theory (in Turkish), Gazi University Publications, (1983).
  2. M. Turgut and S. Yılmaz, Smarandache Curves in Minkowski Space-time, International Journal of Mathematical Combinatorics, 3, 51-55, (2008).
  3. A. T. Ali, Special Smarandache Curves in the Euclidean Space, International Journal of Mathematical Combinatorics, 2, 30-36, (2010).
  4. S. Şenyurt and S. Sivas, An Application of Smarandache Curve, Ordu Univ. J. Sci. Tech. 3(1), 46-60, (2013).
  5. K. Taşköprü and M. Tosun, Smarandache Curves on S2, Boletim da Sociedade paranaense de Matematica 3 serie, 32(1):51-59, (2014).
  6. M. Çetin, Y. Tuncer, M.K. Karacan, Smarandache curves according to Bishop frame in Euclidean 3-space. General Mathematics Notes, 20:50-66 (2014).
  7. N. Bayrak, Ö. Bektaş, S. Yüce, Special Smarandache curves in E3 1, Communications Faculty of Sciences University of Ankara Series A1:Mathematics and Statistics, 65(2): 143-160, (2016).
  8. Ü. Çelik, Smarandache Curves of Bertrand Curve Pair According to Frenet Frame, Master’s Thesis, University of Ordu, (2016).
  9. B. Uzunoğlu, I. Gök and Y. Yaylı, A New Approach on Curves of Constant Precession, Appl. Math. Comput. 275, 317-323, (2016).