Overview
- Winner of the Ferran Sunyer i Balaguer Prize in 2000
- Reviews the necessary prerequisites, beginning with an introduction to Lie symmetries on Poisson and symplectic manifolds
- Currently in classroom use in Europe
- Can serve as a resource for graduate courses and seminars in Hamiltonian mechanics and symmetry, symplectic and Poisson geometry, Lie theory, mathematical physics, and as a comprehensive reference resource for researchers
Part of the book series: Progress in Mathematics (PM, volume 222)
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Table of contents (11 chapters)
Keywords
About this book
Reviews
"…The present book offers a thorough description of [reduction] theory and a unified treatment of most of its developments and generalizations, with a particular emphasis on those due to the authors. It contains many important results which cannot be found in other books, and covers a large part of the recent developments related to momentum maps and reduction. This book fills a need and will be appreciated by specialists as well as by persons new to the field…."
—MATHEMATICAL REVIEWS
Authors and Affiliations
Bibliographic Information
Book Title: Momentum Maps and Hamiltonian Reduction
Authors: Juan-Pablo Ortega, Tudor S. Ratiu
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-1-4757-3811-7
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2004
Hardcover ISBN: 978-0-8176-4307-2Due: 16 December 2003
Softcover ISBN: 978-1-4757-3813-1Published: 14 February 2013
eBook ISBN: 978-1-4757-3811-7Published: 17 April 2013
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XXXIV, 501
Number of Illustrations: 2 b/w illustrations
Topics: Topological Groups, Lie Groups, Ordinary Differential Equations, Applications of Mathematics, Mathematical Methods in Physics