Communications in Contemporary Mathematics · 2001 · 28 citations · 4 references
Natural SciencesMathematicsGeometryTopologyDifferential GeometrySpacetime GeometrySymplectic GeometryFoliation TheoryPoisson GeometrySymplectic Field TheorySymplectic FormsSymplectic Spaces
A regular Poisson manifold can be described as a foliated space carrying a tangentially symplectic form. Examples of foliations are produced here that are not induced by any Poisson structure although all the basic obstructions vanish.
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STABLE MAPPINGS OF FOLIATIONS INTO MANIFOLDS
M. Gromov · Mathematics of the USSR-Izvestiya · 1969 · 143 citations
Closed forms on symplectic fibre bundles
Mark J. Gotay, Richard Lashof, Jędrzej Śniatycki et al. · Commentarii Mathematici Helvetici · 1983 · 54 citations
Alan Weinstein · Differential Geometry and its Applications · 1998 · 51 citations