International Journal of Analysis and Applications ISSN 2291-8639 (Online)

Research Article

Some Properties of Special Magnetic Curves

  • H. S. Abdel-Aziz1
  • M. Khalifa Saad1
  • Haytham A. Ali2*
  1. Dept. of Math., Faculty of Science, Sohag Univ., 82524 Sohag, Egypt
  2. Mathematics Department, Faculty of Science, Sohag University, Egypt.

* Corresponding author

Abstract

In the theory of curves, a magnetic field generates a magnetic flow whose trajectories are curves called magnetic curves. This paper aims at studying some properties for these curves which corresponding to the Killing magnetic fields in the 3-dimensional Euclidean space. We investigate the trajectories of the magnetic fields called $T$-magnetic and $e$-magnetic curves, also we give some characterizations of these curves. In addition, we determine all magnetic curves for new spherical images of a spherical curve and finally, we defray some examples to confirm our main results.

How to Cite

H. S. Abdel-Aziz, M. K. Saad, H. A. Ali, Some Properties of Special Magnetic Curves, Int. J. Anal. Appl. 16 (2018), 193–208. https://doi.org/10.28924/2291-8639-16-2018-193

BibTeX
@article{Abdel-Aziz2018,
  author  = {Abdel-Aziz, H. S. and Saad, M. Khalifa and Ali, Haytham A.},
  title   = {Some Properties of Special Magnetic Curves},
  journal = {Int. J. Anal. Appl.},
  volume  = {16},
  year    = {2018},
  pages   = {193--208},
  doi     = {10.28924/2291-8639-16-2018-193}
}

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