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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2017 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2017
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148597 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862697090732261376 |
|---|---|
| author | Vallejo, J.A. Vorobiev, Y. |
| author_facet | Vallejo, J.A. Vorobiev, Y. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T16:29:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148597 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:29:56Z |
| publishDate | 2017 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | G-Invariant Deformations of Almost-Coupling Poisson Structures Vallejo, J.A. Vorobiev, Y. |
| title | 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_short | G-Invariant Deformations of Almost-Coupling Poisson Structures |
| title_sort | g-invariant deformations of almost-coupling poisson structures |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148597 |
| work_keys_str_mv | AT vallejoja ginvariantdeformationsofalmostcouplingpoissonstructures AT vorobievy ginvariantdeformationsofalmostcouplingpoissonstructures |