TY  - JOUR
AU  - Marrero, J.C.
AU  - Román-Roy, N.
AU  - Salgado, M.
AU  - Vilariño, S.
T1  - Reduction of polysymplectic manifolds
LA  - eng
PY  - 2015
T2  - Journal of Physics A: Mathematical and Theoretical
SN  - 1751-8121
VL  - 48
IS  - 5
PB  - Institute of Physics Publishing
AB  - 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 (G).
DO  - 10.1088/1751-8113/48/5/055206
UR  - https://portalciencia.ull.es/documentos/5d9dacec299952484ef80348
DP  - Dialnet - Portal de la Investigación
ER  -