Hamiltonian Reduction by Stages
(Sprache: Englisch)
This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator...
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This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction.
Inhaltsverzeichnis zu „Hamiltonian Reduction by Stages “
- 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
Bibliographische Angaben
- Autoren: Jerrold E. Marsden , Gerard Misiolek , Juan-Pablo Ortega , Matthew Perlmutter , Tudor Stefan Ratiu
- 2007, 524 Seiten, Masse: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Mitarbeit:Ortega, Juan-Pablo; Marsden, Jerrold E.; Misiolek, Gerard
- Verlag: Springer
- ISBN-10: 3540724699
- ISBN-13: 9783540724698
- Erscheinungsdatum: 29.06.2007
Sprache:
Englisch
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