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Hamiltonian reduction by stages /

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Marsden, Jerrold E.
Format: eBook
Language:English
Published: Berlin ; New York : Springer Verlag, [2007]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1913.
Subjects:
Differential equations.
Hamiltonian systems.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Pt. 1. Background and the problem setting
  • Symplectic reduction
  • Cotangent bundle reduction
  • The problem setting
  • Pt. 2. Regular symplectic reduction by stages
  • Commuting reduction and semidirect product theory
  • Regular reduction by stages
  • Group extensions and the stages hypothesis
  • Magnetic cotangent bundle reduction
  • Stages and coadjoint orbits of central extensions
  • Examples
  • Stages and semidirect products with cocycles
  • Reduction by stages via symplectic distributions reduction by stages with topological conditions
  • Pt. 3. Optimal reduction and singular reduction by stages / Juan-Pablo Ortega
  • The optimal momentum map and point reduction
  • Optimal orbit reduction
  • Optimal reduction by stages.