37 citations · 37 across the 6 of their papers we have counts for
6 papers
From 2-covariant tensor fields to Poisson and Jacobi structures
Manuel de León, Xavier Gràcia, Rubén Izquierdo-López +2
Poisson and Jacobi structures play a fundamental role in the geometric description of many systems arising in classical mechanics. In most cases, the corresponding bivector field i…
Regularization of singular time-dependent Lagrangian systems
Manuel De León, Rubén Izquierdo-López, Luca Schiavone +1
One approach to studying the dynamics of a singular Lagrangian system is to attempt to regularize it, that is, to find an equivalent and regular system. In the case of time-indepen…
A zoo of coisotropic embeddings
Rubén Izquierdo-López, Manuel de León, Luca Schiavone +1
The aim of this paper is to extend the coisotropic embedding theorem obtained by M. J. Gotay for pre-symplectic manifolds to more general geometric settings: cosymplectic, contact,…
The contact Eden bracket and the evolution of observables
V. M. Jiménez, M. De León
In this paper we discuss nonholonomic contact Lagrangian and Hamiltonian systems, that is, systems with a kind of dissipation that are also subject to nonholonomic constraints. We…
Coisotropic embeddings of precosymplectic manifolds
Manuel de León, Pablo Soto Martín
In this paper we provide a complete characterisation of coisotropic embeddings of precosymplectic manifolds into cosymplectic manifolds. This result extends a theorem of Gotay abou…
Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bread
Alessandro Bravetti, Manuel de León, Juan Carlos Marrero +1
We prove that, under some natural conditions, Hamiltonian systems on a contact manifold can be split into a Reeb dynamics on an open subset of and a Liouville dynamics on a…