Abstract
We describe various classes of submanifolds of a Poisson manifold M, both in terms of tensors on M and of constraints: coisotropic submanifolds, Poisson- Dirac submanifolds (which inherit a Poisson structure), and the very general class of pre-Poisson submanifolds. We discuss embedding results for these classes of submanifolds, quotient Poisson algebras associated to them, and their relationship to subgroupoids of the symplectic groupoid of M.
Mathematics Subject Classification (2010) 53D17.
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Zambon, M. (2011). Submanifolds in Poisson geometry: a survey. In: Ebeling, W., Hulek, K., Smoczyk, K. (eds) Complex and Differential Geometry. Springer Proceedings in Mathematics, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20300-8_20
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DOI: https://doi.org/10.1007/978-3-642-20300-8_20
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