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A contact manifold is a manifold that admits a (say global) contact form: a nowhere-integrable form/distribution (as in Frobenius' theorem) ## w## so that ##w \wedge dw \neq 0 ##. This form gives rise to a contact distribution as the kernel of ## w##.

A symplectic manifold is a manifold that admits a symplectic form: a closed non-degenerate 2-form ## \eta##.

Any refs, comments, etc. appreciated.