Publications de l’Institut Mathématique, Nouvelle Série
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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 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 to be a magnetic map with respect to 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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