ENGLISH

Hamiltonian Reduction by Stages

By Jerrold E. Marsden , Gerard Misiolek , Juan-Pablo Ortega , Matthew Perlmutter , Tudor S. Ratiu (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2007
ISBN
3540724699, 9783540724704, 9783540724698
DOI
10.1007/978-3-540-72470-4
Open Library ID
OL12810446M
Language
english
Format
PDF
Filesize
3 MB (3151882 bytes)
Series
Lecture Notes in Mathematics 1913
Edition
1
Pages
524\522
Scanned
yes
Time added
2011-06-04 13:46:07
Dynamical Systems and Ergodic Theory;Differential

Description

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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