Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:symplectic_manifolds
|
| gptkbp:category |
theorems in differential geometry
theorems in symplectic geometry |
| gptkbp:field |
differential geometry
|
| https://www.w3.org/2000/01/rdf-schema#label |
Darboux theorem
|
| gptkbp:implies |
all symplectic manifolds are locally indistinguishable
|
| gptkbp:namedAfter |
gptkb:Jean_Gaston_Darboux
|
| gptkbp:publicationYear |
1882
|
| gptkbp:publishedIn |
gptkb:Annales_scientifiques_de_l'École_Normale_Supérieure
|
| gptkbp:relatedConcept |
gptkb:Hamiltonian_mechanics
canonical coordinates symplectic form |
| gptkbp:sentence |
Every symplectic manifold is locally symplectomorphic to the standard symplectic vector space.
|
| gptkbp:bfsParent |
gptkb:deformation_quantization
|
| gptkbp:bfsLayer |
6
|