Abstract
This text presents some basic notions in symplectic geometry, Poisson geometry, Hamiltonian systems, Lie algebras and Lie groups actions on symplectic or Poisson manifolds, momentum maps and their use for the reduction of Hamiltonian systems. It should be accessible to readers with a general knowledge of basic notions in differential geometry. Full proofs of many results are provided.
Information
Published: 1 January 2014
First available in Project Euclid: 13 July 2015
zbMATH: 1318.53095
MathSciNet: MR3287747
Digital Object Identifier: 10.7546/giq-15-2014-11-52
Rights: Copyright © 2014 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
