论文标题
一些有用的操作员在加利利和卡洛利亚的空间中以差异形式
Some useful operators on differential forms in Galilean and Carrollian spacetimes
论文作者
论文摘要
洛伦兹（Lorentzian Pacetimes）上的差分形式是一个完善的主题。在伽利略和卡罗利亚的空间上，似乎并不是那么好。这可能是由于缺乏霍奇恒星操作员。但是，在最后两个空间中，也有可能有用的霍奇星算子的类似物，即在形式的相应表示之间相互交织的操作员。他们的使用可能会使差异形式成为Galilean和Carrollian SpaceTimes在Lorentzian Spacetime上的形式的物理学的有吸引力的工具，绝对被证明是。
Differential forms on Lorentzian spacetimes is a well-established subject. On Galilean and Carrollian spacetimes it does not seem to be quite so. This may be due to the absence of Hodge star operator. There are, however, potentially useful analogs of Hodge star operator also on the last two spacetimes, namely intertwining operators between corresponding representations on forms. Their use could perhaps make differential forms as attractive tool for physics on Galilean and Carrollian spacetimes as forms on Lorentzian spacetimes definitely proved to be.
