论文标题
部分可观测时空混沌系统的无模型预测
H. Weyl's and E. Cartan's proposals for infinitesimal geometry in the early 1920s
论文作者
论文摘要
在一般相对论的早期阶段，Elie Cartan和Hermann Weyl想到了如何将转化组的作用从经典几何（Erlangen程序）转移到差异几何形状的问题。他们有不同的起点并使用了不同的技术，但两者都概括了由李维维塔对经典基督教符号的解释作为弯曲空间中的平行传递所产生的联系概念。与Weyl（非独立空间与规模规格的几何形状）相比，他们的焦点有所不同，而cartan则朝着更通用的构架迈进。但是，也存在着主题的重叠（空间问题），在1930年代转弯时，他们就如何处理Cartan的无限几何结构达成了协议。
In the early phase of general relativity Elie Cartan and Hermann Weyl thought about the question of how the role of transformation groups could be transferred from classical geometry (Erlangen program) to differential geometry. They had different starting points and used different techniques, but both generalized the concept of connection arising from Levi-Civita's interpretation of the classical Christoffel symbols as parallel transfer in curved spaces. Their focus differed and Cartan headed toward a much more general framwork than Weyl (non-holonomous spaces versus scale gauge geometry). But there also was an overlap of topics (space problem) and, at the turn to the 1930s, they arrived at an agreement on how to deal with Cartan's infinitesimal geometric structures.
