Cotangent bundle
id:
cotangent-bundle-285-11291131
title:
Cotangent bundle
text:
In mathematics, especially differential geometry, the cotangent bundle of a smooth manifold is the vector bundle of all the cotangent spaces at every point in the manifold. It may be described also as the dual bundle to the tangent bundle. This may be generalized to categories with more structure than smooth manifolds, such as complex manifolds, or algebraic varieties or schemes. In the smooth case, any Riemannian metric or symplectic form gives an isomorphism between the cotangent bundle and th
brand slug:
wiki
category slug:
encyclopedia
description:
Vector bundle of cotangent spaces at every point in a manifold
original url:
https://en.wikipedia.org/wiki/Cotangent_bundle
date created:
date modified:
2024-01-08T13:16:50Z
main entity:
{"identifier":"Q1142143","url":"https://www.wikidata.org/entity/Q1142143"}
image:
fields total:
13
integrity:
14