BINORMAL CURVES

Abstract

We give the definition of binormal curves. The curvature, the torsion and Frenet frame of this curve are calculated. Also, the examples of binormal curves are given.

Keywords

• Curvature
• torsion
• Ferenet frame
• curve.

References

1. A. Has, B. Yılmaz, On Quaternionic Bertrand Curves In Euclidean 3-space, Turkish Journal of Mathematics and Computer Science, Vol.14,No.2, pp.355-365 (2022).
2. B. Divjak, Special Curves On Ruled Surface in Galilean and Pseudo-Galilean Space, Acta Mathematica Hungarica, Vol. 98, No.3, pp. 203-215 (2003).
3. S. Senyurt, D.Canlı, K.H. Ayvacı, Associated Curves From A Different Point of View in E3, Communications Faculty of Sciences University of AnkaraSeries A1 Mathematics ans Statistics, Vol.71, No.3, pp. 826-845 (2022).
4. F. Guler, The Quasi Parallel Curve of A Space Curve, Celal Bayar University Journal of Science, Vol. 18, No.2, pp. 203-206 (2022).
5. A. Srivastava, E. Klassen, H.J. Shantanu, I.H. Jermyn, Shape Analysis of Elastic Curves in Euclidean Spaces, IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol.33, No.7, pp. 1415-1428 (2011).
6. U. Gozutok, H.A. Coban, Y. Sagıroglu, Frenet Frame With Respect To Conformable Derivative, Filomat, Vol.33, No.6, pp. 1541-1550 (2019).
7. M.T. Aldossary, M.A. Gazwani, Motion Of Parallel Curves And Surfaces In Euclidean 3-space R3, Global Journal of Advanced Research on Classical and Modern Geometries, Vol.9, No.1, pp. 43-56 (2020).
8. Y. Keles, Galile ve Yarı-Galile Uzaylarında Egriler, Yuksek Lisans Tezi, Karadeniz Teknik Universitesi, Fen Bilimleri Enstitusu, Trabzon, (2014).

9. H. Liu, F. Wang, Mannheim Partner Curves in 3-Space, Journal of Geometry, Vol.88, No.1, pp. 120-126 (2008). B. ONeill, Elementary Differential Geometry, Second Edition, Elsevier, USA, (2006).
10. Y. Sagıroglu, G. Kose, Parallel Curves Based on Normal Vector, Sinop Uni. J. Nat. Sci., Vol.9, No.1, pp. 1-13 (2024).