Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Hamiltonian_mechanics
quantization |
| gptkbp:category |
manifolds with additional structure
|
| gptkbp:definedIn |
Poisson bracket
|
| gptkbp:field |
differential geometry
mathematical physics |
| gptkbp:generalizes |
gptkb:symplectic_manifolds
|
| https://www.w3.org/2000/01/rdf-schema#label |
Poisson manifolds
|
| gptkbp:introduced |
gptkb:André_Lichnerowicz
1977 |
| gptkbp:property |
bracket is a derivation in each argument
bracket satisfies Jacobi identity |
| gptkbp:relatedTo |
gptkb:Lie_groupoids
gptkb:Lie_algebroids foliations |
| gptkbp:structure |
gptkb:Riemannian_manifold
bilinear bracket |
| gptkbp:studiedBy |
gptkb:mathematics
gptkb:theoretical_physics |
| gptkbp:bfsParent |
gptkb:symplectic_manifolds
|
| gptkbp:bfsLayer |
7
|