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- W3108374927 abstract "This paper is devoted to a certain class of submanifolds in Poisson geometry, which we call regular. We show that the local Poisson saturation of such a submanifold is an embedded Poisson submanifold, and we prove a normal form theorem for this Poisson submanifold around the regular submanifold. This result recovers the normal form around Poisson transversals, and it extends some normal form/rigidity results around constant rank submanifolds in symplectic geometry. As an application, we prove a uniqueness result concerning coisotropic embeddings of Dirac manifolds in Poisson manifolds. We also show how our results generalize to the setting of regular submanifolds in Dirac geometry." @default.
- W3108374927 created "2020-12-07" @default.
- W3108374927 creator A5087011679 @default.
- W3108374927 date "2020-11-25" @default.
- W3108374927 modified "2023-09-27" @default.
- W3108374927 title "The Poisson saturation of regular submanifolds" @default.
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- W3108374927 hasPublicationYear "2020" @default.
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