skip to main content
LOTERRE

LOTERRE

Mathematics (thesaurus)

Choisissez le vocabulaire dans lequel chercher

Langue des données

| español English
Aide à la recherche

Concept information

geometry > differential geometry > Atiyah-Singer index theorem
mathematical physics > differential operator > Atiyah-Singer index theorem
mathematical analysis > functional analysis > operator > differential operator > Atiyah-Singer index theorem
... > mathematical analysis > equation > functional equation > differential equation > partial differential equation > elliptic partial differential equation > Atiyah-Singer index theorem
... > mathematical analysis > calculus > differential calculus > differential equation > partial differential equation > elliptic partial differential equation > Atiyah-Singer index theorem

Terme préférentiel

Atiyah-Singer index theorem  

Définition(s)

  • In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential operator on a compact manifold, the analytical index (related to the dimension of the space of solutions) is equal to the topological index (defined in terms of some topological data). It includes many other theorems, such as the Chern–Gauss–Bonnet theorem and Riemann–Roch theorem, as special cases, and has applications to theoretical physics.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Atiyah%E2%80%93Singer_index_theorem)

Concept(s) générique(s)

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-H07K1XD3-T

Télécharger ce concept:

RDF/XML TURTLE JSON-LD Date de création 19/07/2023, dernière modif. 22/08/2023