000046956 001__ 46956 000046956 005__ 20210121082902.0 000046956 0247_ $$2doi$$a10.1088/1751-8113/48/5/055206 000046956 0248_ $$2sideral$$a92364 000046956 037__ $$aART-2015-92364 000046956 041__ $$aeng 000046956 100__ $$aMarrero, Juan Carlos. 000046956 245__ $$aReduction of polysymplectic manifolds 000046956 260__ $$c2015 000046956 5060_ $$aAccess copy available to the general public$$fUnrestricted 000046956 5203_ $$aThe aim of this paper is to generalize the classical Marsden–Weinstein reduction procedure for symplectic manifolds to polysymplectic manifolds in order to obtain quotient manifolds which inherit the polysymplectic structure. This generalization allows us to reduce polysymplectic Hamiltonian systems with symmetries, such as those appearing in certain kinds of classical field theories. As an application of this technique, an analogue to the Kirillov–Kostant–Souriau theorem for polysymplectic manifolds is obtained and some other mathematical examples are also analyzed. Our procedure corrects some mistakes and inaccuracies in previous papers (Günther 1987 J. Differ. Geom. 25 23–53; Munteanu et al 2004 J. Math. Phys. 45 1730–51) on this subject. 000046956 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E24-1$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2011-15725-E$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2009-13383$$9info:eu-repo/grantAgreement/ES/MICINN/MTM2011-22585 000046956 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000046956 590__ $$a1.933$$b2015 000046956 591__ $$aPHYSICS, MATHEMATICAL$$b11 / 53 = 0.208$$c2015$$dQ1$$eT1 000046956 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b20 / 79 = 0.253$$c2015$$dQ2$$eT1 000046956 592__ $$a1.028$$b2015 000046956 593__ $$aMathematical Physics$$c2015$$dQ1 000046956 593__ $$aModeling and Simulation$$c2015$$dQ1 000046956 593__ $$aPhysics and Astronomy (miscellaneous)$$c2015$$dQ1 000046956 593__ $$aStatistical and Nonlinear Physics$$c2015$$dQ2 000046956 593__ $$aStatistics and Probability$$c2015$$dQ2 000046956 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000046956 700__ $$aRomay-Roy, Narciso 000046956 700__ $$aSalgado, Modesto 000046956 700__ $$0(orcid)0000-0003-0404-1427$$aVilariño Fernández, Silvia 000046956 773__ $$g48, 5 (2015), 055206 [43 pp.]$$pJournal of Physics A-Mathematical and Theoretical$$tJournal of Physics A-Mathematical and Theoretical$$x1751-8113 000046956 8564_ $$s491859$$uhttps://zaguan.unizar.es/record/46956/files/texto_completo.pdf$$yPostprint 000046956 8564_ $$s48842$$uhttps://zaguan.unizar.es/record/46956/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000046956 909CO $$ooai:zaguan.unizar.es:46956$$particulos$$pdriver 000046956 951__ $$a2021-01-21-08:16:46 000046956 980__ $$aARTICLE