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періодичних видань НАН України
Invariant Poisson Realizations and the Averaging of Dirac Structures
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік
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| dc.contributor.author | Vallejo, J.A. | |
| dc.contributor.author | Vorobiev, Y. | |
| dc.date.accessioned | 2019-02-10T09:45:44Z | |
| dc.date.available | 2019-02-10T09:45:44Z | |
| dc.date.issued | 2014 | |
| dc.identifier.citation | Invariant Poisson Realizations and the Averaging of Dirac Structures / J.A. Vallejo, Y. Vorobiev // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 29 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 53D17; 70G45; 53C12 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2014.096 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/146597 | |
| dc.description.abstract | We describe an averaging procedure on a Dirac manifold, with respect to a class of compatible actions of a compact Lie group. Some averaging theorems on the existence of invariant realizations of Poisson structures around (singular) symplectic leaves are derived. We show that the construction of coupling Dirac structures (invariant with respect to locally Hamiltonian group actions) on a Poisson foliation is related with a special class of exact gauge transformations. | uk_UA |
| dc.description.sponsorship | The first author (JAV) was partially supported by the Mexican Consejo Nacional de Ciencia y Tecnolog´ıa (CONACyT) research project CB-2012 179115. Both authors acknowledge the detailed comments of the referees, which helped to improve the contents and presentation of this paper. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Invariant Poisson Realizations and the Averaging of Dirac Structures | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
