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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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Electronic fulltext finalized on: 26 Apr 2018. This page was last modified: 11 Mai 2018.

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