Classical Hamiltonians and \(k\)-symplectic geometry. (Hamiltoniens classiques et géométrie \(k\)-symplectique.) (English) Zbl 1197.53104
Summary: We put in obviously Hamiltonian maps of classical mecanics in the context of the polarized Poisson manifolds.
MSC:
| 53D10 | Contact manifolds (general theory) |
| 53D17 | Poisson manifolds; Poisson groupoids and algebroids |
| 70G45 | Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics |
| 70H05 | Hamilton’s equations |
