127573 20241125101143.0 doi 10.1016/j.geomphys.2023.104899 sideral 134568 ART-2023-134568 eng De Lucas, Javier On k-polycosymplectic Marsden–Weinstein reductions 2023 Access copy available to the general public Unrestricted We review and slightly improve the known k-polysymplectic Marsden–Weinstein reduction theory by removing some technical conditions on k-polysymplectic momentum maps by developing a theory of affine Lie group actions for k-polysymplectic momentum maps, removing the necessity of their co-adjoint equivariance. Then, we focus on the analysis of a particular case of k-polysymplectic manifolds, the so-called fibred ones, and we study their k-polysymplectic Marsden–Weinstein reductions. Previous results allow us to devise a k-polycosymplectic Marsden–Weinstein reduction theory, which represents one of our main results. Our findings are applied to study coupled vibrating strings and, more generally, k-polycosymplectic Hamiltonian systems with field symmetries. We show that k-polycosymplectic geometry can be understood as a particular type of k-polysymplectic geometry. Finally, a k-cosymplectic to ℓ-cosymplectic geometric reduction theory is presented, which reduces, geometrically, the space-time variables in a k-cosymplectic framework. An application of this latter result to a vibrating membrane with symmetries is given. info:eu-repo/grantAgreement/ES/DGA/E48-20R info:eu-repo/grantAgreement/ES/DGA/E48-23R info:eu-repo/grantAgreement/ES/MICINN/PID2021-125515NB-C22 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.6 2023 MATHEMATICS 50 / 490 = 0.102 2023 Q1 T1 PHYSICS, MATHEMATICAL 25 / 60 = 0.417 2023 Q2 T2 0.617 2023 Geometry and Topology 2023 Q2 Physics and Astronomy (miscellaneous) 2023 Q2 Mathematical Physics 2023 Q2 2.9 2023 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Rivas, Xavier Vilariño, Silvia Universidad de Zaragoza (orcid)0000-0003-0404-1427 Zawora, Bartosz M. 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 191 (2023), 104899 [36 pp.] J. geom. phys. JOURNAL OF GEOMETRY AND PHYSICS 0393-0440 885245 http://zaguan.unizar.es/record/127573/files/texto_completo.pdf Versión publicada 1900985 http://zaguan.unizar.es/record/127573/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:127573 articulos driver 2024-11-22-12:03:30 ARTICLE