G-Invariant Deformations of Almost-Coupling Poisson Structures
On a foliated manifold equipped with an action of a compact Lie group G, we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory and the method of averaging.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2017 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/148597 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | G-Invariant Deformations of Almost-Coupling Poisson Structures / J.A. Vallejo, Y. Vorobiev // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Vallejo, J.A. Vorobiev, Y. 2019-02-18T16:27:11Z 2019-02-18T16:27:11Z 2017 G-Invariant Deformations of Almost-Coupling Poisson Structures / J.A. Vallejo, Y. Vorobiev // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53D17; 70G45; 58H15 DOI:10.3842/SIGMA.2014.021 https://nasplib.isofts.kiev.ua/handle/123456789/148597 On a foliated manifold equipped with an action of a compact Lie group G, we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory and the method of averaging. We express our gratitude to the anonymous referees, whose detailed comments and criticism have greatly improved the contents of this paper. Also, we thank the organizers of the Gone Fishing Meeting at Berkeley (2015), for the opportunity of presenting and discussing some of the results exposed here. This work was partially supported by the Mexican National Council of Science and Technology (CONACyT), under research projects CB-2012-179115 (JAV) and CB-2013-219631 (YuV). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications G-Invariant Deformations of Almost-Coupling Poisson Structures Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
G-Invariant Deformations of Almost-Coupling Poisson Structures |
| spellingShingle |
G-Invariant Deformations of Almost-Coupling Poisson Structures Vallejo, J.A. Vorobiev, Y. |
| title_short |
G-Invariant Deformations of Almost-Coupling Poisson Structures |
| title_full |
G-Invariant Deformations of Almost-Coupling Poisson Structures |
| title_fullStr |
G-Invariant Deformations of Almost-Coupling Poisson Structures |
| title_full_unstemmed |
G-Invariant Deformations of Almost-Coupling Poisson Structures |
| title_sort |
g-invariant deformations of almost-coupling poisson structures |
| author |
Vallejo, J.A. Vorobiev, Y. |
| author_facet |
Vallejo, J.A. Vorobiev, Y. |
| publishDate |
2017 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
On a foliated manifold equipped with an action of a compact Lie group G, we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory and the method of averaging.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/148597 |
| citation_txt |
G-Invariant Deformations of Almost-Coupling Poisson Structures / J.A. Vallejo, Y. Vorobiev // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 21 назв. — англ. |
| work_keys_str_mv |
AT vallejoja ginvariantdeformationsofalmostcouplingpoissonstructures AT vorobievy ginvariantdeformationsofalmostcouplingpoissonstructures |
| first_indexed |
2025-12-07T16:29:56Z |
| last_indexed |
2025-12-07T16:29:56Z |
| _version_ |
1850867708529213440 |