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• W2593232824 abstract "We consider existence and uniqueness of two kinds of coisotropic embeddings and deduce the existence of deformation quantizations of certain Poisson algebras of basic functions. First we show that any submanifold of a Poisson manifold satisfying a certain constant rank condition, already considered by Calvo and Falceto (2004), sits coisotropically inside some larger cosymplectic submanifold, which is naturally endowed with a Poisson structure. Then we give conditions under which a Dirac manifold can be embedded coisotropically in a Poisson manifold, extending a classical theorem of Gotay." @default.
• W2593232824 created "2017-03-16" @default.
• W2593232824 creator A5060858260 @default.
• W2593232824 creator A5062981324 @default.
• W2593232824 date "2009-07-01" @default.
• W2593232824 modified "2023-09-28" @default.
• W2593232824 title "Coisotropic embeddings in Poisson manifolds" @default.
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• W2593232824 doi "https://doi.org/10.1090/s0002-9947-09-04667-4" @default.
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