Presymplectic form (source code)

= Presymplectic form
{wiki=Presymplectic_form}

The presymplectic form is a concept from differential geometry and mathematical physics, particularly in the study of Hamiltonian dynamics and the theory of differential forms. It generalizes the notion of a symplectic form, which is a closed, non-degenerate 2-form defined on an even-dimensional manifold. In more detail: 1. **Definition**: A presymplectic form on a smooth manifold \\( M \\) is a closed 2-form \\( \\omega \\) (i.e.