114 citations · 578 across the 31 of their papers we have counts for
3 papers · 1 filter
Unified formalism for the generalized kth-order Hamilton-Jacobi problem
Leonardo Colombo, Manuel de León, Pedro D. Prieto-Martínez +1
The geometric formulation of the Hamilton-Jacobi theory enables us to generalize it to systems of higher-order ordinary differential equations. In this work we introduce the unifie…
Geometric Hamilton-Jacobi theory for higher-order autonomous systems
Leonardo Colombo, Manuel de León, Pedro Daniel Prieto-Martínez +1
The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the ambient of higher-order mechanical systems, both in the Lagrangian and Hamiltonian formal…
Reduction of polysymplectic manifolds
Juan Carlos Marrero, Narciso Román-Roy, Modesto Salgado +1
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 manifold…