000 03481nam a22005655i 4500
003 DE-He213
005 20191013105842.0
007 cr nn 008mamaa
008 100301s2007 gw | s |||| 0|eng d
020 6 4 _a9783540724704
_9978-3-540-72470-4
024 8 7 _a10.1007/978-3-540-72470-4
_2doi
050 8 4 _aQA313
072 8 7 _aPBWR
_2bicssc
072 8 7 _aMAT034000
_2bisacsh
082 _a515.39
_223
082 _a515.48
_223
100 8 1 _aMarsden, Jerrold E.
_eauthor.
_97579
245 9 7 _aHamiltonian Reduction by Stages
_h[electronic resource] /
_cby Jerrold E. Marsden, Gerard Misiolek, Juan-Pablo Ortega, Matthew Perlmutter, Tudor S. Ratiu.
001 000063603
300 6 4 _aXV, 524 p.
_bonline resource.
490 8 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1913
505 8 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 6 4 _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 8 0 _aMathematics.
_98571
650 8 0 _aDifferentiable dynamical systems.
_99712
650 8 0 _aGlobal differential geometry.
_99530
650 8 0 _aMathematical physics.
_99251
650 _aMathematics.
_98571
650 _aDynamical Systems and Ergodic Theory.
_99715
650 _aDifferential Geometry.
_99532
650 _aMathematical and Computational Physics.
_910012
700 8 1 _aMisiolek, Gerard.
_eauthor.
_9130356
700 8 1 _aOrtega, Juan-Pablo.
_eauthor.
_9130357
700 8 1 _aPerlmutter, Matthew.
_eauthor.
_9130358
700 8 1 _aRatiu, Tudor S.
_eauthor.
_9130359
710 8 2 _aSpringerLink (Online service)
_9130360
773 8 0 _tSpringer eBooks
776 _iPrinted edition:
_z9783540724698
830 8 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1913
_9130361
856 _uhttp://dx.doi.org/10.1007/978-3-540-72470-4
_zde clik aquí para ver el libro electrónico
264 8 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2007.
336 6 4 _atext
_btxt
_2rdacontent
337 6 4 _acomputer
_bc
_2rdamedia
338 6 4 _aonline resource
_bcr
_2rdacarrier
347 6 4 _atext file
_bPDF
_2rda
516 6 4 _aZDB-2-SMA
516 6 4 _aZDB-2-LNM
999 _c63333
_d63333
942 _c05