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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2015 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146901 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862698332451766272 |
|---|---|
| author | Vizman, C. |
| author_facet | Vizman, C. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T16:32:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146901 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:32:40Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Lagrangian Reduction on Homogeneous Spaces with Advected Parameters Vizman, C. |
| title | 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_short | Lagrangian Reduction on Homogeneous Spaces with Advected Parameters |
| title_sort | lagrangian reduction on homogeneous spaces with advected parameters |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146901 |
| work_keys_str_mv | AT vizmanc lagrangianreductiononhomogeneousspaceswithadvectedparameters |