Generalizations of the Momentum Map

  • Juan-Pablo Ortega
  • Tudor S. Ratiu
Part of the Progress in Mathematics book series (PM, volume 222)


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).


Symplectic Manifold Principal Bundle Holonomy Group Polar Distribution Poisson Manifold 
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Copyright information

© Juan Pablo Ortega and Tudor S. Ratiu 2004

Authors and Affiliations

  • Juan-Pablo Ortega
    • 1
  • Tudor S. Ratiu
    • 2
  1. 1.CNRS-Laboratoire de Mathématiques de BensançonUniversité de Franche-Comté, UFR des Sciences et TechniquesBensançon CedexFrance
  2. 2.Départment de MathématiquesLausanneSwitzerland

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