经典Herglotz-Noether定理的现代观点
A modern view of the classical Herglotz-Noether theorem
摘要：
本文给出了经典的Herglotz-Noether定理的一个新的证明，该定理证明了Minkowski时空中所有的旋转无剪无膨胀流（旋转Born刚性流）都是由Killing矢量场（等距流）产生的。这是为了说明一个一般框架的工作问题，可以被描述为一个结构保持淹没，我们将在随后的论文中描述。
英文摘要：
In this paper we give a new proof, valid for all dimensions, of the classical Herglotz-Noether theorem that all rotational shear-free and expansion-free flows (rotational Born-rigid flows) in Minkowski spacetime are generated by Killing vector fields (isometric flows). This is aimed as an illustration of a general framework for working with problems that can be described as a structure-preserving submersion, which we will describe in a subsequent paper.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
