Gromov's non-squeezing theorem
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:symplectic_camel_theorem
|
| gptkbp:appliesTo |
gptkb:symplectic_manifolds
even-dimensional real vector spaces |
| gptkbp:consequence |
distinction between symplectic and volume geometry
symplectic capacities |
| gptkbp:contrastsWith |
volume-preserving embeddings
|
| gptkbp:field |
gptkb:mathematics
symplectic geometry |
| https://www.w3.org/2000/01/rdf-schema#label |
Gromov's non-squeezing theorem
|
| gptkbp:implies |
symplectic rigidity
|
| gptkbp:namedAfter |
gptkb:Mikhail_Gromov
|
| gptkbp:publishedIn |
gptkb:Publications_Mathématiques_de_l'IHÉS
|
| gptkbp:relatedTo |
gptkb:Darboux's_theorem
Hamiltonian dynamics symplectic embedding symplectic invariants |
| gptkbp:state |
A ball in a symplectic vector space cannot be symplectically embedded into a cylinder of smaller radius
|
| gptkbp:yearProved |
1985
|
| gptkbp:bfsParent |
gptkb:Mikhail_Gromov
|
| gptkbp:bfsLayer |
5
|