TY  - BOOK
AU  - Montgomery,Douglas C.
AU  - Marsden,J.E.
AU  - Ratiu,Tudor S.
TI  - Reduction, Symmetry, and Phases in Mechanics
T2  - Memoirs of the American Mathematical Society
SN  - 9781470408596
AV  - QA3 -- .M377 1990eb 
U1  - 531 
PY  - 1990///
CY  - Providence
PB  - American Mathematical Society
KW  - Mechanics, Analytic
KW  - Symmetry groups
KW  - Holonomy groups
KW  - Electronic books
N1  - Intro -- Contents -- Introduction -- 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 -- References
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113996
ER  -