Taneri, U.Prykarpatsky, Y.Vovk, M.Prykarpatsky, A.2015-08-112015-08-112009The Electromagnetic Lorentz Problem and the Hamiltonian Structure Analysis of the Maxwell-Yang-Mills Type Dynamical Systems within the Reduction Method / Taneri U. ... [et al.]. // Наукові записки НаУКМА. - 2009. - Т. 87 : Фізико-математичні науки. - С. 38-44.https://ekmair.ukma.edu.ua/handle/123456789/5982Based on analysis of reduced geometric structures on fi bered manifolds, invariant under action of an abelian functional symmetry group, we construct the symplectic structures associated with connection forms on the related principal fi ber bundles with abelian functional structure groups. The Marsden-Weinstein reduction procedure is applied to the Maxwell and Yang-Mills type dynamical systems. The geometric properties of Lorentz type constraints, describing the electromagnetic fi eld properties in vacuum and related with the well known Dirac-Fock-Podolsky problem, are discussed.uksymplectic structuresLorentz constraintsprincipal fiber bundlesArticle