Hamiltonian Reduction by Stages
Jerrold E. Marsden, Gerard Misiolek, Juan-Pablo Ortega, Matthew Perlmutter, Tudor S. Ratiu (auth.)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.
Kategorie:
Rok:
2007
Wydanie:
1
Wydawnictwo:
Springer-Verlag Berlin Heidelberg
Język:
english
Strony:
524
ISBN 10:
3540724699
ISBN 13:
9783540724698
Serie:
Lecture Notes in Mathematics 1913
Plik:
DJVU, 3.64 MB
IPFS:
,
english, 2007
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