论文标题
由Lie Group Bundles建模的主要捆绑包和连接
Principal bundles and connections modelled by Lie group bundles
论文作者
论文摘要
在这项工作中，研究了以谎言组捆绑行动为建模的广义原理捆绑包。特别地，提供了与谎言组束连接相关的这些捆绑包中的等效连接的定义，以及对它们的存在及其主要属性的分析。最后一部分给出了一些例子。特别是，由于这项研究最初是由一些关于量规田间理论的几何降低问题引起的，因此我们从文章中调查的角度从经典的Utiyama定理重新审视了经典的Utiyama定理。
In this work, generalized principal bundles modelled by Lie group bundle actions are investigated. In particular, the definition of equivariant connections in these bundles, associated to Lie group bundle connections, is provided, together with the analysis of their existence and their main properties. The final part gives some examples. In particular, since this research was initially originated by some problems on geometric reduction of gauge field theories, we revisit the classical Utiyama Theorem from the perspective investigated in the article.
