Geodesic
Coisotropic Submanifolds in b-symplectic Geometry
Canadian journal of mathematics, Tome 73 (2021) no. 3, pp. 737-768

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DOI

We study coisotropic submanifolds of b-symplectic manifolds. We prove that b-coisotropic submanifolds (those transverse to the degeneracy locus) determine the b-symplectic structure in a neighborhood, and provide a normal form theorem. This extends Gotay’s theorem in symplectic geometry. Further, we introduce strong b-coisotropic submanifolds and show that their coisotropic quotient, which locally is always smooth, inherits a reduced b-symplectic structure.
DOI : 10.4153/S0008414X20000140
Mots-clés : Poisson manifold, coisotropic submanifold 
Geudens, Stephane; Zambon, Marco. Coisotropic Submanifolds in b-symplectic Geometry. Canadian journal of mathematics, Tome 73 (2021) no. 3, pp. 737-768. doi: 10.4153/S0008414X20000140
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     title = {Coisotropic {Submanifolds} in b-symplectic {Geometry}},
     journal = {Canadian journal of mathematics},
     pages = {737--768},
     year = {2021},
     volume = {73},
     number = {3},
     doi = {10.4153/S0008414X20000140},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000140/}
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