Hamiltonian Reduction by Stages

by Juan-Pablo Ortega, Jerrold E. Marsden, Gerard Misiolek, et al.

Background and the Problem Setting.- Symplectic Reduction.- Cotangent Bundle Reduction.- The Problem Setting.- 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.- Optimal Reduction and Singular Reduction by Stages, by Juan-Pablo Ortega.- The Optimal Momentum Map and Point Reduction.- Optimal Orbit Reduction.- Optimal Reduction by Stages.

• Format: Paperback
• Language: English
• ISBN: 3540724699
• ISBN13: 9783540724698
• Release Date: June 2007
• Publisher: Springer
• Length: 524 Pages
• Weight: 1.85 lbs.
• Dimensions: 1.3" x 6.3" x 9.4"