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Generalizations of the Momentum Map

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Momentum Maps and Hamiltonian Reduction

Part of the book series: Progress in Mathematics ((PM,volume 222))

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Abstract

Before proceeding with more Noether momentum maps we briefly recall standard background material on connections on principal fiber bundles and holonomy groups that we will need in the following section. The reader interested in the proofs can find them in Kobayashi and Nomizu (1963); Greub et al. (1970b), or in Husemoller (1994).

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© 2004 Juan Pablo Ortega and Tudor S. Ratiu

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Ortega, JP., Ratiu, T.S. (2004). Generalizations of the Momentum Map. In: Momentum Maps and Hamiltonian Reduction. Progress in Mathematics, vol 222. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-3811-7_5

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  • DOI: https://doi.org/10.1007/978-1-4757-3811-7_5

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4757-3813-1

  • Online ISBN: 978-1-4757-3811-7

  • eBook Packages: Springer Book Archive

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