Codimension one symplectic foliations and regular Poisson structures
Original manuscript June 21, 2011
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
Springer-Verlag
2013
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| Online Access: | http://hdl.handle.net/1721.1/80869 https://orcid.org/0000-0003-2641-1097 |
| _version_ | 1811084471241277440 |
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| author | Miranda, Eva Guillemin, Victor W. Pissarra Pires, Ana Rita |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Miranda, Eva Guillemin, Victor W. Pissarra Pires, Ana Rita |
| author_sort | Miranda, Eva |
| collection | MIT |
| description | Original manuscript June 21, 2011 |
| first_indexed | 2024-09-23T12:51:17Z |
| format | Article |
| id | mit-1721.1/80869 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:51:17Z |
| publishDate | 2013 |
| publisher | Springer-Verlag |
| record_format | dspace |
| spelling | mit-1721.1/808692022-09-28T10:28:04Z Codimension one symplectic foliations and regular Poisson structures Miranda, Eva Guillemin, Victor W. Pissarra Pires, Ana Rita Massachusetts Institute of Technology. Department of Mathematics Guillemin, Victor W. Pissarra Pires, Ana Rita Original manuscript June 21, 2011 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]. 2013-09-23T16:31:28Z 2013-09-23T16:31:28Z 2011-12 2010-09 Article http://purl.org/eprint/type/JournalArticle 1678-7544 1678-7714 http://hdl.handle.net/1721.1/80869 Guillemin, Victor, Eva Miranda, and Ana Rita Pires. “Codimension one symplectic foliations and regular Poisson structures.” Bulletin of the Brazilian Mathematical Society, New Series 42, no. 4 (December 3, 2011): 607-623. https://orcid.org/0000-0003-2641-1097 en_US http://dx.doi.org/10.1007/s00574-011-0031-6 Bulletin of the Brazilian Mathematical Society, New Series Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Springer-Verlag arXiv |
| spellingShingle | Miranda, Eva Guillemin, Victor W. Pissarra Pires, Ana Rita Codimension one symplectic foliations and regular Poisson structures |
| title | Codimension one symplectic foliations and regular Poisson structures |
| title_full | Codimension one symplectic foliations and regular Poisson structures |
| title_fullStr | Codimension one symplectic foliations and regular Poisson structures |
| title_full_unstemmed | Codimension one symplectic foliations and regular Poisson structures |
| title_short | Codimension one symplectic foliations and regular Poisson structures |
| title_sort | codimension one symplectic foliations and regular poisson structures |
| url | http://hdl.handle.net/1721.1/80869 https://orcid.org/0000-0003-2641-1097 |
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