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Hamiltonian systems, symplectic flows, classical integrable systems

1 vote

Homogeneous symplectic manifolds

Some elements in the paper of Gery de Saxcé and Claude Vallée: Construction of a central extension of a Lie group from its class of symplectic cohomology https://www.sciencedirect.com/science/article/ …
Frederic Barbaresco's user avatar
1 vote

Geometric invariants of a Riemannian manifold encoded in certain moment map

Yes, all has been solved by Jean-Marie Souriau: see Barbaresco, F.; Gay-Balmaz, F. Lie Group Cohomology and (Multi)Symplectic Integrators: New Geometric Tools for Lie Group Machine Learning Based on S …
Frederic Barbaresco's user avatar