000			03765nam a22005415i 4500
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
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
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
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