Lagrangian Reduction on Homogeneous Spaces with Advected Parameters
We study the Euler-Lagrange equations for a parameter dependent G-invariant Lagrangian on a homogeneous G-space. We consider the pullback of the parameter dependent Lagrangian to the Lie group G, emphasizing the special invariance properties of the associated Euler-Poincaré equations with advected p...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2015 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146901 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Lagrangian Reduction on Homogeneous Spaces with Advected Parameters / C. Vizman // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 12 назв. — англ. |
Репозитарії
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nasplib_isofts_kiev_ua-123456789-146901 |
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Vizman, C. 2019-02-11T21:18:42Z 2019-02-11T21:18:42Z 2015 Lagrangian Reduction on Homogeneous Spaces with Advected Parameters / C. Vizman // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 12 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53D17; 53D20; 37K65; 58D05; 58D10 DOI:10.3842/SIGMA.2015.009 https://nasplib.isofts.kiev.ua/handle/123456789/146901 We study the Euler-Lagrange equations for a parameter dependent G-invariant Lagrangian on a homogeneous G-space. We consider the pullback of the parameter dependent Lagrangian to the Lie group G, emphasizing the special invariance properties of the associated Euler-Poincaré equations with advected parameters. The author is grateful to the referee for very helpful suggestions. This work was supported by a grant of the Romanian National Authority for Scientific Research, CNCS UEFISCDI, project number PN-II-ID-PCE-2011-3-0921. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Lagrangian Reduction on Homogeneous Spaces with Advected Parameters Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Lagrangian Reduction on Homogeneous Spaces with Advected Parameters |
| spellingShingle |
Lagrangian Reduction on Homogeneous Spaces with Advected Parameters Vizman, C. |
| title_short |
Lagrangian Reduction on Homogeneous Spaces with Advected Parameters |
| title_full |
Lagrangian Reduction on Homogeneous Spaces with Advected Parameters |
| title_fullStr |
Lagrangian Reduction on Homogeneous Spaces with Advected Parameters |
| title_full_unstemmed |
Lagrangian Reduction on Homogeneous Spaces with Advected Parameters |
| title_sort |
lagrangian reduction on homogeneous spaces with advected parameters |
| author |
Vizman, C. |
| author_facet |
Vizman, C. |
| publishDate |
2015 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We study the Euler-Lagrange equations for a parameter dependent G-invariant Lagrangian on a homogeneous G-space. We consider the pullback of the parameter dependent Lagrangian to the Lie group G, emphasizing the special invariance properties of the associated Euler-Poincaré equations with advected parameters.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146901 |
| citation_txt |
Lagrangian Reduction on Homogeneous Spaces with Advected Parameters / C. Vizman // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 12 назв. — англ. |
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AT vizmanc lagrangianreductiononhomogeneousspaceswithadvectedparameters |
| first_indexed |
2025-12-07T16:32:40Z |
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2025-12-07T16:32:40Z |
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