Flux surfaces according to Killing magnetic vectors in Riemannian space $\mathbb{S}ol3$

Abstract

In this paper, we determine, in 3-dimensional homogenous Riemannian space $% \mathbb{S}ol3$, the parametric flux surfaces according to Killing magnetic vectors and its associate scalar flux functions. An examples of shush surfaces are presented with a graphical representation in Euclidean space.