Explicit formulas for flux surfaces and scalar flux functions according to Killing magnetic vectors in SL(2, R)

Noria BEKKOUCHE; Fouzi HATHOUT

Explicit formulas for flux surfaces and scalar flux functions according to Killing magnetic vectors in SL(2, R)

Authors

Noria BEKKOUCHE
Fouzi HATHOUT

Keywords:

Flux; Killing magnetic flux surface; magnetic curves; Scalar flux function; SL(2, R) manifold

Abstract

In this paper, we determine flux surfaces according to Killing magnetic vectors and its associate scalar flux functions in
3-dimensional Riemannian space SL(2, R). We give for each parametric flux surface an example and its graphical representations in
Euclidean 3-space.

Additional Files

Published

2024-10-29

How to Cite

BEKKOUCHE, N., & HATHOUT, F. (2024). Explicit formulas for flux surfaces and scalar flux functions according to Killing magnetic vectors in SL(2, R). Jordan Journal of Mathematics and Statistics, 17(3). Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/440