Lagrangian Mechanics and Reduction on Fibered Manifolds
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Lagrangian Mechanics and Reduction on Fibered Manifolds
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| Creator |
Li, S.
Stern, A. Tang, X. |
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| Description |
This paper develops a generalized formulation of Lagrangian mechanics on fibered manifolds, together with a reduction theory for symmetries corresponding to Lie groupoid actions. As special cases, this theory includes not only Lagrangian reduction (including reduction by stages) for Lie group actions, but also classical Routh reduction, which we show is naturally posed in this fibered setting. Along the way, we also develop some new results for Lagrangian mechanics on Lie algebroids, most notably a new, coordinate-free formulation of the equations of motion. Finally, we extend the foregoing to include fibered and Lie algebroid generalizations of the Hamilton-Pontryagin principle of Yoshimura and Marsden, along with the associated reduction theory.
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| Date |
2019-02-18T15:53:08Z
2019-02-18T15:53:08Z 2017 |
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| Type |
Article
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| Identifier |
Lagrangian Mechanics and Reduction on Fibered Manifolds / S. Li, A. Stern, X. Tang // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 34 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 70G45; 53D17; 37J15 DOI:10.3842/SIGMA.2017.019 http://dspace.nbuv.gov.ua/handle/123456789/148564 |
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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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