Frame bundle
id:
frame-bundle-204-1715631
title:
Frame bundle
text:
In mathematics, a frame bundle is a principal fiber bundle F associated with any vector bundle E. The fiber of F over a point x is the set of all ordered bases, or frames, for E x. The general linear group acts naturally on F via a change of basis, giving the frame bundle the structure of a principal G L
-bundle. The frame bundle of a smooth manifold is the one associated with its tangent bundle. For this reason it is sometimes called the tangent frame bundle.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Frame_bundle
date created:
2003-11-14T20:13:08Z
date modified:
2024-09-09T21:35:24Z
main entity:
{"identifier":"Q5477902","url":"https://www.wikidata.org/entity/Q5477902"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/8/8c/Mobius_frame_bundle.png","width":1574,"height":1860}
fields total:
13
integrity:
15