On Magnetic Curves According to Killing Vector Fields in Euclidean 3-Space

Saad, M. Khalifa; Abdel-Aziz, H. S.; Ali, Haytham A.

doi:10.28924/2291-8639-20-2022-18

Research Article

On Magnetic Curves According to Killing Vector Fields in Euclidean 3-Space

M. Khalifa Saad*
H. S. Abdel-Aziz
Haytham A. Ali

* Corresponding author

Abstract

In the geometric theory of space curves, a magnetic field generates magnetic flow. The trajectories of magnetic flow are called magnetic curves. In the present paper, we obtain magnetic curves corresponding to killing magnetic fields in Euclidean 3-space E³. The magnetic curves of the spherical indicatrices of the tangent, principal normal and binormal for a regular space curve are said to be meant curves. Also, we investigate the magnetic curves of the tangent indicatrix and obtain the trajectories of the magnetic fields called T_T-magnetic, N_T-magnetic and B_T-magnetic curves. Finally, some computational examples in support of our main results are given and plotted.

How to Cite

M. K. Saad, H. S. Abdel-Aziz, H. A. Ali, On Magnetic Curves According to Killing Vector Fields in Euclidean 3-Space, Int. J. Anal. Appl. 20 (2022), 18. https://doi.org/10.28924/2291-8639-20-2022-18

BibTeX

@article{Saad2022,
  author  = {Saad, M. Khalifa and Abdel-Aziz, H. S. and Ali, Haytham A.},
  title   = {On Magnetic Curves According to Killing Vector Fields in Euclidean 3-Space},
  journal = {Int. J. Anal. Appl.},
  volume  = {20},
  year    = {2022},
  pages   = {18},
  doi     = {10.28924/2291-8639-20-2022-18}
}

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