We study magnetic trajectories in the unit tangent sphere bundle with pseudo-Riemannian g-natural metrics of a Riemannian manifold. A high interest is dedicated to the case when the base manifold is a space form and when the metric is of Kaluza–Klein type. Slant curves are obtained when a certain conservation law is satisfied. We give a complete classification of slant magnetic curves (respectively, geodesics) on \(T_1M\), when M is a two-dimensional Riemannian manifold of constant curvature.

中文翻译：

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具有g-自然度量的切球束上的磁轨迹

我们用黎曼流形的伪黎曼g-自然度量来研究单位切球束中的磁轨迹。当基础歧管为空间形式且度量为Kaluza-Klein类型时，人们会特别关注这种情况。当满足一定的守恒定律时，可获得倾斜曲线。当M是恒定曲率的二维黎曼流形时，我们给出\（T_1M \）上的倾斜磁曲线的完整分类（分别是测地线）。