Symplectic space
Encyclopedia
A symplectic space is either a symplectic manifold
or a symplectic vector space
. The latter is a special case of the former.
Symplectic manifold
In mathematics, a symplectic manifold is a smooth manifold, M, equipped with a closed nondegenerate differential 2-form, ω, called the symplectic form. The study of symplectic manifolds is called symplectic geometry or symplectic topology...
or a symplectic vector space
Symplectic vector space
In mathematics, a symplectic vector space is a vector space V equipped with a bilinear form ω : V × V → R that is...
. The latter is a special case of the former.