As the space of solutions of the first-order Hamiltonian field theory has a presymplectic
structure, we describe a class of conserved charges associated with the momentum map …

VB-groupoids and algebroids are vector bundle objects in the categories of Lie groupoids
and Lie algebroids, respectively, and they are related via the Lie functor. VB-groupoids and …

In this work, generalized principal bundles modelled by Lie group bundle actions are
investigated. In particular, the definition of equivariant connections in these bundles …

In this work, we develop a Lagrangian reduction theory for covariant field theories with
gauge symmetries. These symmetries are modeled by a Lie group fiber bundle acting …

In the two papers of this series, we initiate the development of a new approach to
implementing the concept of symmetry in classical field theory, based on replacing Lie …

A introdução de estruturas simpléticas generalizadas em fibrados de cojatos como âmbito
matemático para o formalismo hamiltoniano de primeira ordem, tanto na mecânica clássica …