3 papers
math-ph2024
Canonical Lifts in Multisymplectic De Donder-Weyl Hamiltonian Field Theories
Arnoldo Guerra, Narciso Román-Roy
In this paper, we define canonical lifts of vector fields to the multisymplectic multimomentum bundles of De Donder-Weyl Hamiltonian first-order field theories and to the appropria…
math-ph2024
Geometry of Mechanics
Miguel C. Muñoz-Lecanda, Narciso Román-Roy
The aim of this work is to study the geometry underlying mechanics and its application to describe autonomous and nonautonomous conservative dynamical systems of different types; a…
math.DG2023
On Darboux theorems for geometric structures induced by closed forms
Xavier Gràcia, Javier de Lucas, Xavier Rivas +1
This work reviews the classical Darboux theorem for symplectic, presymplectic, and cosymplectic manifolds (which are used to describe regular and singular mechanical systems), and…