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Lie Groups. Momentum Mappings. Reduction.

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

Abstract

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.

Keywords

Cotangent Bundle Momentum Mapping Coadjoint Orbit Reduce Phase Space Spherical Pendulum 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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