SavedAdd your journal

Journals / Mathematical Sciences and Applications E-Notes / 2018 / Cilt: 6 - Sayı: 1

Position Vectors of General Helices According to Type-2 Bishop Frame in E3

HÜLYA GÜN BOZOK
Sezin AYKURT SEPET
Mahmut ERGÜT
Pages
64–69
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Moreover we determine the natural representation of a general helix in E3 .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the position vector of a general helix according to type-2 Bishop frame in the 3-dimensional Euclidean space E3 .
📊
Key Findings & Data:In this paper, we study the position vector of a general helix according to type-2 Bishop frame in the 3-dimensional Euclidean space E3 .
💡
Conclusion & Impact:Moreover we determine the natural representation of a general helix in E3 .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Özet

In this paper, we study the position vector of a general helix according to type-2 Bishop frame in the 3-dimensional Euclidean space E3 . Moreover we determine the natural representation of a general helix in E3 .

🔖

Cite This Article

BOZOK, H. G., SEPET, S. A., ERGÜT, M. (2018). Position Vectors of General Helices According to Type-2 Bishop Frame in E3. Mathematical Sciences and Applications E-Notes, Cilt: 6 - Sayı: 1, 64–69. https://ajindex.com/articles/283511

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (12)

  1. Ahmad, T.A., Position vectors of general helices in Euclidean 3-Space, Bull. Math. Anal. Appl., 3 (2011) no. 2, 198-205
  2. Ahmad, T.A., Position vectors of slant helices in Euclidean 3-space, J. Egyp. Math. Soc., 20 (2012), 1-6
  3. Barros, M., General helices and a theorem of Lancret, Proc. Am. Math. Soc., 125 (1997), 1503-1509
  4. Bishop, L.R., There is more than one way to frame a curve, Am. Math. Monthly, 82 (1975) no. 3, 246-251
  5. Chen, B.Y., Kim D.S., Kim Y.H., New characterizations of W-curves, Publ. Math. Debrecen, 69 (2006), 457-472
  6. Chouaieb, N., Goriely, A., Maddocks, J.H., Helices, PANS, 103 (2006), 9398-9403
  7. Ilarslan, K., Boyacioglu, O., Position vectors of a space like W-curve in Minkowski space E3 1, Bull. Korean Math. Soc., 44 (2007), 429-438
  8. Lucas, A.A., Lambin, P., Diffraction by DNA, carbon nanotubes and other helical nanostructures, Rep. Prog. Phys., 68, 1181-1249, 2005
  9. Ozyilmaz, E., Classical differential geometry of curves according to type-2 bishop trihedra, Math. Comput. Appl., 16 (2011) no. 4, 858-867
  10. Oztekin, H. and Gun Bozok, H., Position vectors of admissible curves in 3-dimensional pseudo-Galilean space G1 3, Int. Electron. J. Geom., 8 (2015) no. 1, 21-32
  11. Struik, D.J., Lectures in Classical Differential Geometry, Addison,-Wesley, Reading, MA, 1961
  12. Yilmaz, S. and Turgut, M., A new version of Bishop frame and an application to spherical images, J. Math. Anal. Appl., 371 (2010), 764-776.