Hamiltonian Reduction by Stages
| Autor: | Marsden, Jerrold E. Misiolek, Gerard Ortega, Juan-Pablo Perlmutter, Matthew Ratiu, Tudor S. |
|---|---|
| EAN: | 9783540724698 |
| Sachgruppe: | Mathematik |
| Sprache: | Englisch |
| Seitenzahl: | 544 |
| Produktart: | Kartoniert / Broschiert |
| Veröffentlichungsdatum: | 29.06.2007 |
| Schlagworte: | Differenzialgleichung Gleichung / Differenzialgleichung Mechanik |
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In this volume readers will find for the first time a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. Special emphasis is given to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. Ample background theory on symplectic reduction and cotangent bundle reduction in particular is provided. Novel features of the book are the inclusion of a systematic treatment of the cotangent bundle case, including the identification of cocycles with magnetic terms, as well as the general theory of singular reduction by stages.
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