Metasymplectic space

Metasymplectic space is a concept from differential geometry and mathematical physics, particularly in the study of geometric structures related to mechanics. To understand metasymplectic spaces, it is helpful to first familiarize oneself with the concepts of symplectic geometry and symplectic manifolds. In symplectic geometry, a symplectic manifold is a smooth even-dimensional manifold equipped with a closed, non-degenerate 2-form called the symplectic form.