# holonomy

Definition from Wiktionary, the free dictionary

## English[edit]

### Noun[edit]

**holonomy** (*plural* **holonomies**)

- (differential geometry) Given a smooth closed curve
*C*on a surface*M*, and picking any point*P*on that curve, the holonomy of*C*in*M*is the angle by which some vector turns as it is parallel transported along the curve*C*from point*P*all the way around and back to point*P*.