Symplectic manifold

A symplectic manifold is a kind of mathematical space which is made up of curved surfaces that fit together in interesting ways. It's like a big 3D maze. Points on the surface can be moved around in different directions and they always remain connected to each other, so that you don't get lost. The surface of a symplectic manifold follows different physical rules than usual surfaces, which makes it very useful in physics and mathematics.

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Almost symplectic manifold, Contact manifold, Covariant Hamiltonian field theory, Fedosov manifold, Poisson bracket, Symplectic group, Symplectic matrix, Symplectic topology, Symplectic vector space, Symplectomorphism, Tautological one-form, Wirtinger inequality (2-forms)