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arXiv · 1907.09251

Coisotropic submanifolds in $b$-symplectic geometry

Stephane Geudens·Marco Zambon
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Abstract

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.

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Stephane Geudens, Marco Zambon. 2019-07-22. Coisotropic submanifolds in $b$-symplectic geometry. https://doi.org/10.4153/s0008414x20000140

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