We study conformal and Killing vector fields on the unit tangent bundle, over a Riemannian manifold, equipped with an arbitrary pseudo-Riemannian g-natural metric. We characterize the conformal and Killing conditions for classical lifts of vector fields and we give a full classification of conformal fiber-preserving vector fields on the unit tangent bundle endowed with an arbitrary pseudo-Riemannian Kaluza-Klein type metric.

中文翻译：

---

在单位切丛上的 $g$-自然共形向量场

我们在黎曼流形上研究单位切丛上的保角矢量场和杀伤矢量场，配备了任意的伪黎曼 g-自然度量。我们描述了矢量场经典提升的共形和杀伤条件，并且我们给出了单位切丛上保形纤维保持矢量场的完整分类，单位切丛赋予了任意的伪黎曼 Kaluza-Klein 类型度量。