Reduction, symmetry, and phases in mechanics / J.E. Marsden, R. Montgomery, and T. Ratiu.

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Bibliographic Details
Main Authors:	Marsden, Jerrold E. (Author), Montgomery, Richard, 1956- (Author), Ratiu, T. (Author)
Format:	eBook
Language:	English
Published:	Providence, Rhode Island, United States : American Mathematical Society, 1990.
Series:	Memoirs of the American Mathematical Society ; Volume 88, no. 436.
Subjects:	Mechanics, Analytic. Symmetry groups. Holonomy groups. Holonomy groups Mechanics, Analytic Symmetry groups
Online Access:	Click for online access

Table of Contents:

""Contents""; ""Introduction""; ""Â1 Some Examples""; ""Â2 Reconstruction of dynamics for Hamiltonian systems""; ""Â3 Reconstruction of dynamics for Lagrangian systems""; ""Â4 Ehresmann connections and holonomy""; ""Â5 Reconstruction phases""; ""Â6 Averaging connections""; ""Â7 Existence, uniqueness and curvature of the Hannay-Berry connections""; ""Â8 The Hannay-Berry connection in the presence of additional symmetry""; ""Â9 The Hannay-Berry connection on level sets of the momentum map""; ""Â10 Case I: Bundles of symplectic manifolds with the canonical connection
Integrable systems""""Â11 Case II: Cartan connections; moving systems""; ""Â12 The Cartan angles; the ball in the hoop and the Foucault pendulum""; ""Â13 Induced connections on the tower of bundles""; ""Â14 The Hannay-Berry connection for general systems""; ""References""

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