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Lagrangian reduction by stages

About this Title

Hernán Cendra, Jerrold E. Marsden and Tudor S. Ratiu

Publication: Memoirs of the American Mathematical Society
Publication Year 2001: Volume 152, Number 722
ISBNs: 978-0-8218-2715-4 (print); 978-1-4704-0315-7 (online)
MathSciNet review: 1840979
MSC: Primary 37J15; Secondary 53D20, 70H33

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Table of Contents


  • 1. Introduction
  • 2. Preliminary constructions
  • 3. The Lagrange–Poincaré equations
  • 4. Wong’s equations and coordinate formulas
  • 5. The Lie algebra structure on sections of the reduced bundle
  • 6. Reduced tangent bundles
  • 7. Further examples
  • 8. The category $\mathfrak {LB}$* and poisson geometry