Musical isomorphism
id:
musical-isomorphism-206-4604330
title:
Musical isomorphism
text:
In mathematics—more specifically, in differential geometry—the musical isomorphism is an isomorphism between the tangent bundle T M and the cotangent bundle T ∗ M of a Riemannian or pseudo-Riemannian manifold induced by its metric tensor. There are similar isomorphisms on symplectic manifolds. The term musical refers to the use of the musical notation symbols ♭ (flat) and ♯ (sharp). In the notation of Ricci calculus, the idea is expressed as the raising and lowering of indices. In certain specia
brand slug:
wiki
category slug:
encyclopedia
description:
Isomorphism between the tangent and cotangent bundles of a manifold.
original url:
https://en.wikipedia.org/wiki/Musical_isomorphism
date created:
2006-01-18T16:55:01Z
date modified:
2024-09-10T18:39:43Z
main entity:
{"identifier":"Q2915448","url":"https://www.wikidata.org/entity/Q2915448"}
image:
fields total:
13
integrity:
15