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978-3-540-72470-4 |
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DE-He213 |
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20210702070923.0 |
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|a 9783540724704
|9 978-3-540-72470-4
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|a 10.1007/978-3-540-72470-4
|2 doi
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|a QA313
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| 100 |
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|a Marsden, Jerrold E.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 245 |
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|a Hamiltonian Reduction by Stages
|h [electronic resource] /
|c by Jerrold E. Marsden, Gerard Misiolek, Juan-Pablo Ortega, Matthew Perlmutter, Tudor S. Ratiu.
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| 250 |
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|a 1st ed. 2007.
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| 264 |
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1 |
|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2007.
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| 300 |
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|a XV, 524 p.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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| 347 |
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|a text file
|b PDF
|2 rda
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1913
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| 505 |
0 |
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|a Background and the Problem Setting -- Symplectic Reduction -- Cotangent Bundle Reduction -- The Problem Setting -- Regular Symplectic Reduction by Stages -- Commuting Reduction and Semidirect Product Theory -- Regular Reduction by Stages -- Group Extensions and the Stages Hypothesis -- Magnetic Cotangent Bundle Reduction -- Stages and Coadjoint Orbits of Central Extensions -- Examples -- Stages and Semidirect Products with Cocycles -- Reduction by Stages via Symplectic Distributions -- Reduction by Stages with Topological Conditions -- Optimal Reduction and Singular Reduction by Stages, by Juan-Pablo Ortega -- The Optimal Momentum Map and Point Reduction -- Optimal Orbit Reduction -- Optimal Reduction by Stages.
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| 520 |
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|a 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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| 650 |
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|a Dynamics.
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| 650 |
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|a Ergodic theory.
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| 650 |
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|a Differential geometry.
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| 650 |
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|a Mathematical physics.
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| 650 |
1 |
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|a Dynamical Systems and Ergodic Theory.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
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| 650 |
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|a Differential Geometry.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M21022
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| 650 |
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|a Theoretical, Mathematical and Computational Physics.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/P19005
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| 700 |
1 |
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|a Misiolek, Gerard.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 700 |
1 |
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|a Ortega, Juan-Pablo.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 700 |
1 |
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|a Perlmutter, Matthew.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 700 |
1 |
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|a Ratiu, Tudor S.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 710 |
2 |
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|a SpringerLink (Online service)
|
| 773 |
0 |
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|t Springer Nature eBook
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| 776 |
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8 |
|i Printed edition:
|z 9783540838210
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| 776 |
0 |
8 |
|i Printed edition:
|z 9783540724698
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| 830 |
|
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 1913
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-3-540-72470-4
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| 912 |
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|a ZDB-2-SMA
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| 912 |
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|a ZDB-2-SXMS
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| 912 |
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|a ZDB-2-LNM
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| 950 |
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|a Mathematics and Statistics (SpringerNature-11649)
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| 950 |
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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