We introduce two different ways to establish the concept of infinitesimal position vector field between “infinitesimally nearby” observers in a Galilean spacetime as well as show their mathematical equivalence. We also use this concept to characterize the family of spatially conformally Leibnizian spacetimes.

中文翻译：

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关于伽利略时空中无穷小位置矢量场的概念

我们介绍了两种不同的方法来建立伽利略时空中“无限近”观察者之间的无穷小位置矢量场的概念，并证明它们的数学等价性。我们还使用这个概念来描述空间共形莱布尼茨时空族。