Some Properties of Special Magnetic Curves

Some Properties of Special Magnetic Curves

Show other versions (1)

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 trajector...

Full description

Bibliographic Details
Main Authors: H. S. Abdel-Aziz, M. Khalifa Saad, Haytham A. Ali
Format: Article
Language:English
Published: Etamaths Publishing 2018-03-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/1603
id doaj-a9fad24489484670a3877bdfe486dd1e
record_format Article
spelling doaj-a9fad24489484670a3877bdfe486dd1e2021-08-26T13:44:38ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-03-01162193208296Some Properties of Special Magnetic CurvesH. S. Abdel-Aziz0M. Khalifa Saad1Haytham A. Ali2Dept. of Math., Faculty of Science, Sohag Univ., 82524 Sohag, EgyptDept. of Math., Faculty of Science, Sohag Univ., 82524 Sohag, EgyptMathematics Department, Faculty of Science, Sohag University, Egypt.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.http://etamaths.com/index.php/ijaa/article/view/1603
collection DOAJ
language English
format Article
sources DOAJ
author H. S. Abdel-Aziz
M. Khalifa Saad
Haytham A. Ali
spellingShingle H. S. Abdel-Aziz
M. Khalifa Saad
Haytham A. Ali
Some Properties of Special Magnetic Curves
International Journal of Analysis and Applications
author_facet H. S. Abdel-Aziz
M. Khalifa Saad
Haytham A. Ali
author_sort H. S. Abdel-Aziz
title Some Properties of Special Magnetic Curves
title_short Some Properties of Special Magnetic Curves
title_full Some Properties of Special Magnetic Curves
title_fullStr Some Properties of Special Magnetic Curves
title_full_unstemmed Some Properties of Special Magnetic Curves
title_sort some properties of special magnetic curves
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2018-03-01
description 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.
url http://etamaths.com/index.php/ijaa/article/view/1603
work_keys_str_mv AT hsabdelaziz somepropertiesofspecialmagneticcurves
AT mkhalifasaad somepropertiesofspecialmagneticcurves
AT haythamaali somepropertiesofspecialmagneticcurves
_version_ 1721193517235044352

Similar Items