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

By: Marsden, Jerrold EContributor(s): Montgomery, R. (Richard), 1956- | Ra�tiu, Tudor SMaterial type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 436.Publication details: Providence, R.I., USA : American Mathematical Society, c1990Description: 1 online resource (iv, 110 p. : ill.)ISBN: 9781470408596 (online)Subject(s): Mechanics, Analytic | Symmetry groups | Holonomy groupsAdditional physical formats: Reduction, symmetry, and phases in mechanics /DDC classification: 510 s | 531 LOC classification: QA3 | .A57 no. 436 | QA808Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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Link to resource Available EBK12889

"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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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