G-structure on a manifold
id:
g-structure-on-a-manifold-239-10524033
title:
G-structure on a manifold
text:
In differential geometry, a G-structure on an n-manifold M, for a given structure group G, is a principal G-subbundle of the tangent frame bundle FM (or GL(M)) of M. The notion of G-structures includes various classical structures that can be defined on manifolds, which in some cases are tensor fields. For example, for the orthogonal group, an O(n)-structure defines a Riemannian metric, and for the special linear group an SL(n,R)-structure is the same as a volume form. For the trivial group, an
brand slug:
wiki
category slug:
encyclopedia
description:
Structure group sub-bundle on a tangent frame bundle
original url:
https://en.wikipedia.org/wiki/G-structure_on_a_manifold
date created:
date modified:
2023-06-26T06:58:20Z
main entity:
{"identifier":"Q5511959","url":"https://www.wikidata.org/entity/Q5511959"}
image:
fields total:
13
integrity:
14