Symmetries and reduction Part i - Poisson and symplectic picture Articles uri icon

authors

  • MARMO, GIUSEPPE
  • Schiavone, L.
  • Zampini, A.

publication date

  • August 2020

issue

  • 9

volume

  • 17

International Standard Serial Number (ISSN)

  • 0219-8878

Electronic International Standard Serial Number (EISSN)

  • 1793-6977

abstract

  • 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.

keywords

  • dynamical systems; noether theorem; poisson geometry; symplectic geometry