Lie Groups. Momentum Mappings. Reduction.

  • Mircea Puta
Part of the Mathematics and Its Applications book series (MAIA, volume 260)


In this chapter we describe the symplectic reduction procedure due to Marsden and Weinstein [1974] which generalizes the classical theorems of Liouville and Jacobi on the elimination of the node and the fixing of the center of mass in the n-body problem, as well as the coadjoint orbit’s theorem. This method is also significant in various physical examples.


Cotangent Bundle Momentum Mapping Coadjoint Orbit Reduce Phase Space Spherical Pendulum 
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Copyright information

© Springer Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Mircea Puta
    • 1
  1. 1.Department of MathematicsUniversity of TimişoaraTimişoaraRomania

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