Lecture Notes in Mathematics

Hamiltonian Reduction by Stages

Authors: Marsden, J.E., Misiolek, G., Ortega, J.-P., Perlmutter, M., Ratiu, T.

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eBook $79.99
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  • ISBN 978-3-540-72470-4
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About this book

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.

Reviews

From the reviews:

"For the first time in the literature, this book presents a detailed account of the theory of reduction by stages of Hamiltonian systems with symmetries. … It is therefore a useful tool in computing reduced spaces and the authors illustrate it with many physical examples. … The necessary background in symplectic reduction and the numerous examples which are provided make this book interesting for people new to the field, as well as for specialists." (Oana M. Dragulete, Mathematical Reviews, Issue 2008 i)


Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-3-540-72470-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA
  • ISBN 978-3-540-72469-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Hamiltonian Reduction by Stages
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1913
Copyright
2007
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-72470-4
DOI
10.1007/978-3-540-72470-4
Softcover ISBN
978-3-540-72469-8
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XV, 524
Topics