Symmetries and reduction Part I — Poisson and symplectic picture

  title={Symmetries and reduction Part I — Poisson and symplectic picture},
  author={Giuseppe Marmo and Luca Schiavone and Alessandro Zampini},
  journal={arXiv: Mathematical Physics},
Coherently with the principle of analogy suggested by Dirac, we describe a general setting for reducing a classical dynamics, and the role of the Noether theorem -- connecting symmetries with constants of the motion -- within a reduction. This is the first of two papers, and it focuses on the reduction within the Poisson and the symplectic formalism. 
4 Citations
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