Invariant Poisson Realizations and the Averaging of Dirac Structures
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Invariant Poisson Realizations and the Averaging of Dirac Structures
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| Creator |
Vallejo, J.A.
Vorobiev, Y. |
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| Description |
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.
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| Date |
2019-02-10T09:45:44Z
2019-02-10T09:45:44Z 2014 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 53D17; 70G45; 53C12 DOI:10.3842/SIGMA.2014.096 http://dspace.nbuv.gov.ua/handle/123456789/146597 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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