(G,X)-manifold
id:
g-x-manifold-185-1798890
title:
(G,X)-manifold
text:
In geometry, if X is a manifold with an action of a topological group G by analytical diffeomorphisms, the notion of a (G, X)-structure on a topological space is a way to formalise it being locally isomorphic to X with its G-invariant structure; spaces with a (G, X)-structure are always manifolds and are called (G, X)-manifolds. This notion is often used with G being a Lie group and X a homogeneous space for G. Foundational examples are hyperbolic manifolds and affine manifolds.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/(G,X)-manifold
date created:
2013-03-30T18:23:48Z
date modified:
2024-09-07T19:52:51Z
main entity:
{"identifier":"Q13422953","url":"https://www.wikidata.org/entity/Q13422953"}
image:
fields total:
13
integrity:
14