This paper is devoted to the study of generalized magnetic vector fields as magnetic maps from a Kählerian manifold to its tangent bundle endowed with a Berger type deformed Sasaki metric. Some properties of Killing magnetic vector fields are provided specially in the case of an Einstein manifold and a space form. In the last section, we consider the case of unit tangent bundle.

中文翻译：

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凯勒流形上切束上的磁场

本文致力于研究广义磁矢量场作为从 Kählerian 流形到其具有 Berger 型变形 Sasaki 度量的切丛的磁映射。Killing 磁矢量场的一些性质是专门针对爱因斯坦流形和空间形式给出的。在上一节中，我们考虑了单位切丛的情况。