46956 20210121082902.0 doi 10.1088/1751-8113/48/5/055206 sideral 92364 ART-2015-92364 eng Marrero, Juan Carlos. Reduction of polysymplectic manifolds 2015 Access copy available to the general public Unrestricted The 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. info:eu-repo/grantAgreement/ES/DGA/E24-1 info:eu-repo/grantAgreement/ES/MICINN/MTM2011-15725-E info:eu-repo/grantAgreement/ES/MICINN/MTM2009-13383 info:eu-repo/grantAgreement/ES/MICINN/MTM2011-22585 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.933 2015 PHYSICS, MATHEMATICAL 11 / 53 = 0.208 2015 Q1 T1 PHYSICS, MULTIDISCIPLINARY 20 / 79 = 0.253 2015 Q2 T1 1.028 2015 Mathematical Physics 2015 Q1 Modeling and Simulation 2015 Q1 Physics and Astronomy (miscellaneous) 2015 Q1 Statistical and Nonlinear Physics 2015 Q2 Statistics and Probability 2015 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Romay-Roy, Narciso Salgado, Modesto (orcid)0000-0003-0404-1427 Vilariño Fernández, Silvia 48, 5 (2015), 055206 [43 pp.] Journal of Physics A-Mathematical and Theoretical Journal of Physics A-Mathematical and Theoretical 1751-8113 491859 http://zaguan.unizar.es/record/46956/files/texto_completo.pdf Postprint 48842 http://zaguan.unizar.es/record/46956/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:46956 articulos driver 2021-01-21-08:16:46 ARTICLE