关于通过无长度有向边的离散Holonomy的一个注记
A note on discrete Holonomy through directed edges, with no lengths
摘要：
本文演示了距离的概念和完整性的概念如何从一个合适的有向边（没有长度）的网络中构造出来。不同边类型的数目取决于度量的签名和和乐群的维数。如果和乐群是一维群，且度量是正定的，则需要单一类型的有向边。
英文摘要：
This note demonstrates how both the concept of distance and the concept of holonomy can be constructed from a suitable network with directed edges (and no lengths). The number of different edge types depends on the signature of the metric and the dimension of the holonomy group. If the holonomy group is of dimension one and the metric is positive-definite, a single type of directed edges is needed.
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。
