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Let $(M,\omega)$, be pre-symplectic, then can we say, we have a foliation of $M$, with tangent spaces ker$\omega$$ker\omega$.What can we say about its trajectories. ?

Let $(M,\omega)$, be pre-symplectic, then can we say, we have a foliation of $M$, with tangent spaces ker$\omega$.What can we say about its trajectories. ?

Let $(M,\omega)$, be pre-symplectic, then can we say, we have a foliation of $M$, with tangent spaces $ker\omega$.What can we say about its trajectories. ?

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user21574
user21574

pre-symplectic and foliation and its trajectories

Let $(M,\omega)$, be pre-symplectic, then can we say, we have a foliation of $M$, with tangent spaces ker$\omega$.What can we say about its trajectories. ?