Symplectic spaceThis article should be merged with Symplectic topology
A symplectic space is a 2n-dimensional manifold with a nondegenerate 2-form, ω, called the symplectic form.
- with and for all i,j=1,...,n-1 where δ is the Kronecker delta function is a linear symplectic space.
One of the primary applications of symplectic spaces is in Hamiltonian mechanics
See also Symplectic group.