Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:classical_mechanics
gptkb:mirror_symmetry quantum mechanics |
| gptkbp:definedIn |
smooth manifolds equipped with a closed, non-degenerate 2-form
|
| gptkbp:dimensions |
even
|
| gptkbp:example |
complex projective space
cotangent bundle of a manifold |
| gptkbp:field |
differential geometry
mathematical physics |
| gptkbp:property |
Darboux's theorem applies
do not admit local invariants |
| gptkbp:relatedTo |
gptkb:Hamiltonian_mechanics
gptkb:Poisson_manifolds Kähler manifolds contact manifolds |
| gptkbp:structure |
symplectic form
|
| gptkbp:studiedBy |
gptkb:André_Weil
gptkb:Vladimir_Arnold gptkb:Jean-Marie_Souriau |
| gptkbp:bfsParent |
gptkb:Riemannian_manifolds
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
symplectic manifolds
|