TY - BOOK
AU - Marsden,Jerrold E.
AU - Montgomery,R.
AU - Raï¿½tiu,Tudor S.
TI - Reduction, symmetry, and phases in mechanics
T2 - Memoirs of the American Mathematical Society,
SN - 9781470408596 (online)
AV - QA3QA808 .A57 no. 436
U1 - 510 s531 20
PY - 1990///
CY - Providence, R.I., USA
PB - American Mathematical Society
KW - Mechanics, Analytic
KW - Symmetry groups
KW - Holonomy groups
N1 - "Volume 88, number 436 (first of 2 numbers)."; Includes bibliographical references (p. 107-110); 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR - http://www.ams.org/memo/0436
UR - http://dx.doi.org/10.1090/memo/0436
ER -