Summary: It is proven that the Poisson algebra of a locally conformal symplectic manifold is integrable by making use of a convenient setting in global analysis. It is also observed that, contrary to the symplectic case, a unified approach to the compact and non-compact case is possible.
@article{701651,
title = {Integrability of the Poisson algebra on a locally conformal symplectic manifold},
booktitle = {Proceedings of the 19th Winter School "Geometry and Physics"},
series = {GDML\_Books},
publisher = {Circolo Matematico di Palermo},
address = {Palermo},
year = {2000},
pages = {89-96},
mrnumber = {MR1758083},
zbl = {0981.53070},
url = {http://dml.mathdoc.fr/item/701651}
}
Haller, Stefan; Rybicki, Tomasz. Integrability of the Poisson algebra on a locally conformal symplectic manifold, dans Proceedings of the 19th Winter School "Geometry and Physics", GDML_Books, (2000), pp. 89-96. http://gdmltest.u-ga.fr/item/701651/