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01326 am a22002173u 4500 |
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80869 |
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|a Miranda, Eva
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Guillemin, Victor W.
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|a Pissarra Pires, Ana Rita
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|a Guillemin, Victor W.
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|a Pissarra Pires, Ana Rita
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|a Codimension one symplectic foliations and regular Poisson structures
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|b Springer-Verlag,
|c 2013-09-23T16:31:28Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/80869
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|a Original manuscript June 21, 2011
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|a In this short note we give a complete characterization of a certain class of compact corank one Poisson manifolds, those equipped with a closed one-form defining the symplectic foliation and a closed two-form extending the symplectic form on each leaf. If such a manifold has a compact leaf, then all the leaves are compact, and furthermore the manifold is a mapping torus of a compact leaf. These manifolds and their regular Poisson structures admit an extension as the critical hypersurface of a b-Poisson manifold as we will see in [9].
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|a en_US
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|a Article
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|t Bulletin of the Brazilian Mathematical Society, New Series
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