Almost symplectic manifold

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Almost symplectic manifold

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In differential geometry, an almost symplectic structure on a differentiable manifold M is a two-form ω on M which is everywhere non-singular. If, in addition, ω is closed, then it is a symplectic form.

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



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