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Concept information

geometry > differential geometry > Riemannian geometry > musical isomorphism
geometry > differential geometry > symplectic geometry > musical isomorphism
category theory > morphism > isomorphism > musical isomorphism
algebra > abstract algebra > morphism > isomorphism > musical isomorphism

Terme préférentiel

musical isomorphism  

Définition(s)

  • In mathematics—more specifically, in differential geometry—the musical isomorphism (or canonical isomorphism) is an isomorphism between the tangent bundle and the cotangent bundle of a pseudo-Riemannian manifold induced by its metric tensor. There are similar isomorphisms on symplectic manifolds. The term musical refers to the use of the symbols (flat) and (sharp).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Musical_isomorphism)

Concept(s) générique(s)

Synonyme(s)

  • canonical isomorphism

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-S909F0LS-C

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RDF/XML TURTLE JSON-LD Date de création 29/06/2023, dernière modif. 29/06/2023