Hector, G. Une nouvelle obstruction à l’intégrabilité des variétés de Poisson régulières. (A new obstruction to the integrability of regular Poisson manifolds). (French) Zbl 0756.58017 Hokkaido Math. J. 21, No. 1, 159-185 (1992). The paper deals with the problem of universal symplectic integration: Given a Poisson manifold find a global symplectic groupoid (connected and simply connected fibres), which covers the given manifold by a Poisson morphism. After a short but clear survey of the problem and its current status a new necessary condition (obstruction) is formulated and proven. Reviewer: C.Günther (Libby) Cited in 2 Documents MSC: 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C80 Applications of global differential geometry to the sciences Keywords:universal symplectic integration; Poisson manifold PDFBibTeX XMLCite \textit{G. Hector}, Hokkaido Math. J. 21, No. 1, 159--185 (1992; Zbl 0756.58017) Full Text: DOI