Main Page | See live article | Alphabetical index This 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. Example: 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. This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.