磁场矢量场:新例子

J. Inoguchi, M. Munteanu
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引用次数: 3

摘要

在上一篇文章中,我们介绍了磁场的概念。更准确地说,我们把向量场ξ看作是从黎曼流形到其具有通常的几乎Kahlerian结构的切束的映射,并且我们找到了ξ是关于ξ本身和kahler2形式的磁映射的充分必要条件。本文给出了一些新的矢量磁场的例子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Magnetic vector fields: New examples
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 Kahlerian structure and we find necessary and sufficient conditions for ξ to be a magnetic map with respect to ξ itself and the Kahler 2-form. In this paper we give new examples of magnetic vector fields.
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