Integrability of the Poisson algebra on a locally conformal symplectic manifold. (English) Zbl 0981.53070

Haller, Stefan; Rybicki, Tomasz

Slovák, Jan (ed.) et al., The proceedings of the 19th Winter School “Geometry and physics”, Srní, Czech Republic, January 9-15, 1999. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 63, 89-96 (2000).

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.
For the entire collection see [Zbl 0940.00040].

MSC:

53D05	Symplectic manifolds (general theory)
37J05	Relations of dynamical systems with symplectic geometry and topology (MSC2010)
53D17	Poisson manifolds; Poisson groupoids and algebroids

Keywords:

Poisson algebra; locally conformal symplectic manifold