In differential geometry, an almost symplectic structure on a differentiable manifold is a two-form on that is everywhere non-singular.[1] If in addition is closed then it is a symplectic form.

An almost symplectic manifold is an Sp-structure; requiring to be closed is an integrability condition.


  1. ^ Ramanan, S. (2005), Global calculus, Graduate Studies in Mathematics, vol. 65, Providence, RI: American Mathematical Society, p. 189, ISBN 0-8218-3702-8, MR 2104612.