Generalizations of the Momentum Map
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).
KeywordsSymplectic Manifold Principal Bundle Holonomy Group Polar Distribution Poisson Manifold
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