Magnetic Vector Fields: New Examples


Jun-ichi Inoguchi, Marian Ioan Munteanu




In a previous paper, we introduced the notion of magnetic vector fields. More precisely, we consider a vector field $\xi$ as a map from a Riemannian manifold into its tangent bundle endowed with the usual almost Kählerian structure and we find necessary and sufficient conditions for $\xi$ to be a magnetic map with respect to $\xi$ itself and the Kähler 2-form. In this paper we give new examples of magnetic vector fields.