symplectic camel theorem

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Gromov's_non-squeezing_theorem
gptkbp:appliesTo even-dimensional real vector spaces
gptkbp:field symplectic geometry
https://www.w3.org/2000/01/rdf-schema#label symplectic camel theorem
gptkbp:influenced modern symplectic topology
gptkbp:involves gptkb:symplectic_manifolds
symplectic transformations
symplectic capacity
gptkbp:namedAfter gptkb:Mikhail_Gromov
gptkbp:relatedTo Hamiltonian dynamics
symplectic embedding
volume preservation
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:Gromov's_non-squeezing_theorem
gptkbp:bfsLayer 6