Proceedings of the International Conference on Geometry, Integrability and Quantization

Symmetries of Hamiltonian Dynamical Systems, Momentum Maps and Reductions

Charles-Michel Marle

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.

Article information

Source
Proceedings of the Fifteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Andrei Ludu and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2014), 11-52

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436815700

Digital Object Identifier
doi:10.7546/giq-15-2014-11-52

Mathematical Reviews number (MathSciNet)
MR3287747

Zentralblatt MATH identifier
1318.53095

Citation

Marle, Charles-Michel. Symmetries of Hamiltonian Dynamical Systems, Momentum Maps and Reductions. Proceedings of the Fifteenth International Conference on Geometry, Integrability and Quantization, 11--52, Avangard Prima, Sofia, Bulgaria, 2014. doi:10.7546/giq-15-2014-11-52. https://projecteuclid.org/euclid.pgiq/1436815700


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