On magnetic curves in the 3-dimensional heisenberg group

Abstract

We consider normal magnetic curves in 3-dimensional Heisenberg group H-3 : We prove that gamma is a normal magnetic curve in H-3 if and only if it is a geodesic obtained as an integral curve of e(3) or a non-Legendre slant circle or a Legendre helix or a slant helix. We obtain the parametric equations of normal slant magnetic curves in 3-dimensional Heisenberg group H-3.