Nowhere vanishing primitive of a symplectic form

Let $M$ be a manifold with an exact symplectic form $\omega$. Then there is a nowhere vanishing primitive $\beta$ for $\omega$, i.e. $\omega = \mathrm{d} \beta$.

Keywords

global symplectic structure, primitive of symplectic form, open symplectic manifold

2010 Mathematics Subject Classification

53D05

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The research for this work was partially supported by the SFB/Transregio 191 “Symplektische Strukturen in Geometrie, Algebra und Dynamik”.

Received 30 March 2021

Accepted 12 August 2022

Published 13 April 2023