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Reduction, Symmetry, and Phases in Mechanics.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1990Copyright date: ©1990Edition: 1st edDescription: 1 online resource (118 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470408596
Subject(s): Genre/Form: Additional physical formats: Print version:: Reduction, Symmetry, and Phases in MechanicsDDC classification:
  • 531
LOC classification:
  • QA3 -- .M377 1990eb
Online resources:
Contents:
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.
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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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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