18 citations · 45 across the 14 of their papers we have counts for
4 papers · 1 filter
A Universal Hamilton-Jacobi Theory
Manuel de León, David Martín de Diego, Miguel Vaquero
In this paper we develop a Hamilton-Jacobi theory in the setting of almost Poisson manifolds. The theory extends the classical Hamilton-Jacobi theory and can be also applied to ver…
Poly-Poisson structures
D. Iglesias-Ponte, J. C. Marrero, M. Vaquero
In this paper we introduce poly-Poisson structures as a higher-order extension of Poisson structures. It is shown that any poly-Poisson structure is endowed with a polysymplectic f…
A Hamilton-Jacobi Theory for Singular Lagrangian Systems in the Skinner and Rusk Setting
Manuel de León, David Martín de Diego, Miguel Vaquero
We develop a Hamilton-Jacobi theory for singular lagrangian systems in the Skinner-Rusk formalism. Comparisons with the Hamilton-Jacobi problem in the lagrangian and hamiltonian se…
On the Hamilton-Jacobi Theory for Singular Lagrangian Systems
Manuel de León, Juan Carlos Marrero, David Martín de Diego +1
We develop a Hamilton-Jacobi theory for singular lagrangian systems using the Gotay-Nester-Hinds constraint algorithm. The procedure works even if the system has secondary constrai…