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200 10$aReduction, symmetry, and phases in mechanics /$fJ. E. Marsden, R. Montgomery, and T. Ratiu
210  1$aProvidence, Rhode Island, United States :$cAmerican Mathematical Society,$d1990.
210  4$d©1990
215   $a1 online resource (118 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 88, Number 436
300   $a"November 1990, Volume 88, Number 436 (first of 2 numbers)"--Cover.
311   $a0-8218-2498-8 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""Introduction""; ""A?1 Some Examples""; ""A?2 Reconstruction of dynamics for Hamiltonian systems""; ""A?3 Reconstruction of dynamics for Lagrangian systems""; ""A?4 Ehresmann connections and holonomy""; ""A?5 Reconstruction phases""; ""A?6 Averaging connections""; ""A?7 Existence, uniqueness and curvature of the Hannay-Berry connections""; ""A?8 The Hannay-Berry connection in the presence of additional symmetry""; ""A?9 The Hannay-Berry connection on level sets of the momentum map""; ""A?10 Case I: Bundles of symplectic manifolds with the canonical connection
327   $aintegrable systems""""A?11 Case II: Cartan connections;  moving systems""; ""A?12 The Cartan angles;  the ball in the hoop and the Foucault pendulum""; ""A?13 Induced connections on the tower of bundles""; ""A?14 The Hannay-Berry connection for general systems""; ""References""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 88, Number 436.
606   $aMechanics, Analytic
606   $aSymmetry groups
606   $aHolonomy groups
615  0$aMechanics, Analytic.
615  0$aSymmetry groups.
615  0$aHolonomy groups.
676   $a531
700   $aMarsden$b Jerrold E.$07790
702   $aMontgomery$b R$g(Richard),$f1956-
702   $aRatiu$b T.
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