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Title
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Reduced dynamics and Lagrangian submanifolds of symplectic manifolds
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Author
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Abstract
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| In this paper, we will see that the symplectic creed by Weinstein 'everything is a Lagrangian submanifold' also holds for Hamilton-Poincare and Lagrange-Poincare reduction. In fact, we show that solutions of the Hamilton-Poincare equations and of the Lagrange-Poincare equations are in one-to-one correspondence with distinguished curves in a Lagrangian submanifold of a symplectic manifold. For this purpose, we will combine the concept of a Tulczyjew triple with Marsden-Weinstein symplectic reduction. |
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Language
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English
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Source (journal)
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Journal of physics : A : mathematical and theoretical / Institute of Physics [London] - London
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Publication
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London
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2014
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ISSN
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1751-8113
[print]
1751-8121
[online]
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DOI
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10.1088/1751-8113/47/22/225203
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Volume/pages
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47
:22
(2014)
, p. 1-24
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Article Reference
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225203
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ISI
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000336807400009
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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