Publications de l’Institut Mathématique, Nouvelle Série, Vol. 103[117] <error n=', pp. 91

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Magnetic Vector Fields: New Examples

Jun-ichi Inoguchi, Marian Ioan Munteanu

Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki, Japan; Al. I. Cuza University of Iasi, Faculty of Mathematics, Iasi, Romania

Abstract: In a previous paper, we introduced the notion of magnetic vector fields. More precisely, we consider a vector field $ξ$ 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 $ξ$ to be a magnetic map with respect to $ξ$ itself and the Kähler 2-form. In this paper we give new examples of magnetic vector fields.

Keywords: magnetic curves; harmonic maps; magnetic maps

Classification (MSC2000): 53C43; 53C07, 53C15, 58E20

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