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Reduction, Symmetry, and Phases in Mechanics
 
Front Cover for Reduction, Symmetry, and Phases in Mechanics
Available Formats:
Electronic ISBN: 978-1-4704-0859-6
Product Code: MEMO/88/436.E
List Price: $25.00
MAA Member Price: $22.50
AMS Member Price: $15.00
Front Cover for Reduction, Symmetry, and Phases in Mechanics
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Reduction, Symmetry, and Phases in Mechanics
Available Formats:
Electronic ISBN:  978-1-4704-0859-6
Product Code:  MEMO/88/436.E
List Price: $25.00
MAA Member Price: $22.50
AMS Member Price: $15.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 881990; 110 pp
    MSC: Primary 58; 70; Secondary 81;
  • Table of Contents
     
     
    • Chapters
    • 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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Volume: 881990; 110 pp
MSC: Primary 58; 70; Secondary 81;
  • Chapters
  • 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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