000 | 03765nam a22005415i 4500 | ||
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001 | 978-3-540-72470-4 | ||
003 | DE-He213 | ||
005 | 20190213151717.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2007 gw | s |||| 0|eng d | ||
020 |
_a9783540724704 _9978-3-540-72470-4 |
||
024 | 7 |
_a10.1007/978-3-540-72470-4 _2doi |
|
050 | 4 | _aQA313 | |
072 | 7 |
_aPBWR _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
|
072 | 7 |
_aPBWR _2thema |
|
082 | 0 | 4 |
_a515.39 _223 |
082 | 0 | 4 |
_a515.48 _223 |
100 | 1 |
_aMarsden, Jerrold E. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aHamiltonian Reduction by Stages _h[electronic resource] / _cby Jerrold E. Marsden, Gerard Misiolek, Juan-Pablo Ortega, Matthew Perlmutter, Tudor S. Ratiu. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2007. |
|
300 |
_aXV, 524 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1913 |
|
505 | 0 | _aBackground 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. | |
520 | _aIn 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. | ||
650 | 0 | _aDifferentiable dynamical systems. | |
650 | 0 | _aGlobal differential geometry. | |
650 | 1 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
650 | 2 | 4 |
_aDifferential Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M21022 |
650 | 2 | 4 |
_aTheoretical, Mathematical and Computational Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19005 |
700 | 1 |
_aMisiolek, Gerard. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aOrtega, Juan-Pablo. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aPerlmutter, Matthew. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
700 | 1 |
_aRatiu, Tudor S. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540838210 |
776 | 0 | 8 |
_iPrinted edition: _z9783540724698 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1913 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-72470-4 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c11612 _d11612 |