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This œuvre, Symetry methods in geometrics mechanics, by Tudor Ratiu is licensed under a Creative Commons Attribution-ShareAlike 4.0 International license.

Symetry methods in geometrics mechanics


Symetry methods in geometrics mechanics
Publication details: 
The goal of these lectures is to show the influence of symmetry in various aspects of theoretical mechanics. Canonical actions of Lie groups on Poisson manifolds often give rise to conservation laws, encoded in modern language by the concept of momentum maps. Reduction methods lead to a deeper understanding of the dynamics of mechanical systems. Basic results in singular Hamiltonian reduction will be presented. The Lagrangian version of reduction and its associated variational principles will also be discussed. The understanding of symmetric bifurcation phenomena in for Hamiltonian systems are based on these reduction techniques. Time permitting, discrete versions of these geometric methods will also be discussed in the context of examples from elasticity. 
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Keynote speach Tudor Ratiu (chaired by Xavier Pennec)
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Symetry methods in geometrics mechanics
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