 ##  [Holonomy (of a Connection)](/holonomy-connection) 

  ##  [Holonomy (of a Connection)](https://natural.quantumdictionary.io/holonomy-connection-0) 

  
 [![Natural & Formal Sciences Dictionary](/sites/default/files/styles/large/public/2026-01/Natural%20%26%20Formal%20Sciences.png.webp?itok=2kCDRVQv)](/topic-specific-dictionaries/natural-formal-sciences)


**Natural &amp; Formal Sciences Dictionary**

 
Definition

The group of parallel-transport transformations obtained by transporting vectors (or frames) along closed loops in a manifold with a given connection; encodes curvature and global geometric constraints.