Dergiler / International Electronic Journal of Geometry / 2026 / Volume: 12 Issue: 1

New Approach to Slant Helix

Sayfa
—
Yayın Tarihi
2019-03-27
🏛️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)

A slant helix is a curve for which the principal normal vector field makes a constant angle

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:A slant helix is a curve for which the principal normal vector field makes a constant angle
📊
Temel Bulgular & Veri:A slant helix is a curve for which the principal normal vector field makes a constant angle
💡
Sonuç & Katkı:A slant helix is a curve for which the principal normal vector field makes a constant angle
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Slant helix · Alternative moving frame

Abstract

A slant helix is a curve for which the principal normal vector field makes a constant angle

🔖

Bu Makaleye Atıf Yap

Yılmaz, B., Has, A. (2019). New Approach to Slant Helix. International Electronic Journal of Geometry, Volume: 12 Issue: 1. https://doi.org/10.36890/iejg.545879

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. Barros, M., Ferrandez, A., Lucas, P. and Merono, A. M., General helices in the three-dimensional Lorentzian space forms. Rocky Mountain J. Math. 31 (2001), no. 2, 373-388.
  2. Chouaieb, N., Goriely, A. and Maddocks, J. H., Helices. PANS 103 (2006), 9398-9403.
  3. Ekmekci, N. and İlarslan, K., Null general helices and submanifolds. Bol. Soc. Mat. Mexicana 3 (2003), no. 2, 279-286.
  4. Ferrandez, A., Gimenez, A. and Lucas, P., Null helices in Lorentzian space forms. Internat. J. Modern Phys. A. 16 (2001), no. 30, 4845-4863.
  5. Izumiya, S. and Takeuchi, N., New special curves and developable surfaces. Turk J. Math. 28 (2004), 153-163.
  6. Kula, L., Ekmekci, N., Yayli, Y. and ˙Ilarslan, K., Characterizations of slant helices in Euclidean 3-space. Turk. J. Math. 33 (2009), 1-13.
  7. Kula, L. and Yayli, Y., On slant helix and its spherical indicatrix. Applied Mathematics and Computation 169 (2005), 600-607.
  8. Lancret, M. A., M´emoire sur les courbes ‘a double courbure. M´emoires pr´esent´es ‘a l’Institut1, 1806.
  9. Lopez, R., Differential geometry of curves and surfaces in Lorentz-Minkowski space. International Electronic Journal of Geometry 7 (2014), no.1, 44-107.
  10. Lucas, A. A. and Lambin, P., Diffraction by DNA, carbon nanotubes and other helical nanostructures. Rep. Prog. Phys. 68 (2005), 1181-1249.
  11. Scofield, P. D., Curves of constant precession. Amer. Math. Mon. 102 (1995), 531-537.
  12. Struik, D. J., Lectures on classical differential geometry. Dover, New-York, 1988.
  13. Toledo-Suarez, C. D., On the arithmetic of fractal dimension using hyperhelices. Chaos, Solitons and Fractals 39 (2009), 342-349.
  14. Uzunoğlu, B., Gök, İ. and Yayli, Y., A new approach on curves of constant precession. Applied Mathematics and Computation 275 (2016), 317-323.