Holonomy
id:
holonomy-170-4951445
title:
Holonomy
text:
In differential geometry, the holonomy of a connection on a smooth manifold is the extent to which parallel transport around closed loops fails to preserve the geometrical data being transported. Holonomy is a general geometrical consequence of the curvature of the connection. For flat connections, the associated holonomy is a type of monodromy and is an inherently global notion. For curved connections, holonomy has nontrivial local and global features. Any kind of connection on a manifold gives
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in differential geometry
original url:
https://en.wikipedia.org/wiki/Holonomy
date created:
2004-05-09T22:06:51Z
date modified:
2024-09-01T00:48:11Z
main entity:
{"identifier":"Q907926","url":"https://www.wikidata.org/entity/Q907926"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/f/f0/Holonomy-vis-with-label.png","width":1520,"height":1488}
fields total:
13
integrity:
16