Nantilus
Reduction, symmetry, and phases in mechanics
| Auteurs principaux : | , |
|---|---|
| Autres auteurs : | |
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | Reduction, symmetry, and phases in mechanics / J.E. Marsden, R. Montgomery and T. Ratiu |
| Publié : |
Providence (R.I.) :
American Mathematical Society
, C 1990 |
| Description matérielle : | 1 vol. (IV-110 p.) |
| Collection : | Memoirs of the American Mathematical Society ; 436 |
| Sujets : | |
| Documents associés : | Autre format:
Reduction, symmetry, and phases in mechanics |
- 1. Some examples
- 2. Reconstruction of dynamics for Hamiltonian systems
- 3. Reconstruction of dynamics for Lagrangian systems
- 4. Ehresmann connections and holonomy
- 5. Reconstruction phases
- 6. Averaging connections
- 7. Existence, uniqueness and curvature of the Hannay-Berry connections
- 8. The Hannay-Berry connection in the presence of additional symmetry
- 9. The Hannay-Berry connection on level sets of the momentum map
- 10. Case I: Bundles of symplectic manifolds with the canonical connection; integrable systems
- 11. Case II: Cartan connections; moving systems
- 12. The Cartan angles; the ball in the hoop and the Foucault pendulum
- 13. Induced connections on the tower of bundles
- 14. The Hannay-Berry connection for general systems