Abstract.
We show that the \( d_{\omega} \)-cohomology is isomorphic to a conformally invariant usual de Rham cohomology of an appropriate cover. We also prove a Moser theorem for locally conformal symplectic (lcs) forms. We point out a connection between lcs geometry and contact geometry. Finally, we show the connections between first kind, second kind, essential, inessential, local, and global conformal symplectic structures through several invariants.
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Received: May 28, 2001
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Banyaga, A. Some properties of locally conformal symplectic structures. Comment. Math. Helv. 77, 383–398 (2002). https://doi.org/10.1007/s00014-002-8345-z
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DOI: https://doi.org/10.1007/s00014-002-8345-z