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Q: Existence of Liouville vector fields on symplectic manifolds

PengfeiLet $(M, \omega)$ be a symplectic manifold. A vector field $V: M \to TM$ is Liouville if $L_{X} \omega=\omega$. The existence of a Liouville vector field implies that $(M, \omega)$ is exact: the one-form $\lambda = i_V \omega$ satisfies $d\lambda=d\circ i_V\omega = L_V\omega=\omega$. In particula...

@MartinSleziak The tag is gone. It is not shown in the revision history, so it was most likely removed by a script. (Single occurrence tag, older than 6 months.)
 

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