A 2n-manifold M equipped with a closed, non-degenerate 2-form ω. Underlies Hamiltonian mechanics; Darboux: locally all symplectic manifolds look the same.
A 2n-manifold M equipped with a closed, non-degenerate 2-form ω. Underlies Hamiltonian mechanics; Darboux: locally all symplectic manifolds look the same.