6 citations · 11 across the 8 of their papers we have counts for
9 papers
The Spencer cohomology and integrability of multisymplectic structures
Manuel de León, Rubén Izquierdo-López, Manuel Lainz
We study the integrability problem of multisymplectic structures, by identifying them as -structures. Applying the theory of Spencer cohomology, we give conditions on a multisym…
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,…
A description of classical field equations using extensions of graded Poisson brackets
Manuel de León, Rubén Izquierdo-López
As it is well-known, Poisson brackets play a fundamental role both in mechanics and in classical field theories. In this paper we develop a theory of extensions of graded Poisson b…
Brackets in multicontact geometry and multisymplectization
Manuel de León, Rubén Izquierdo-López, Xavier Rivas
In this paper we introduce a graded bracket of forms on multicontact manifolds. This bracket satisfies a graded Jacobi identity as well as two different versions of the Leibniz rul…
Graded Poisson and Graded Dirac structures
Manuel de León, Rubén Izquierdo-López
There have been several attempts in recent years to extend the notions of symplectic and Poisson structures in order to create a suitable geometrical framework for classical field…
Coisotropic reduction in Multisymplectic Geometry
Manuel de León, Rubén Izquierdo-López
In this paper we study coisotropic reduction in multisymplectic geometry. On the one hand, we give an interpretation of Hamiltonian multivector fields as Lagrangian submanifolds an…
A review on coisotropic reduction in Symplectic, Cosymplectic, Contact and Co-contact Hamiltonian systems
Manuel de León, Rubén Izquierdo-López
In this paper we study the coisotropic reduction in different types of dynamics according to the geometry of the corresponding phase space. The relevance of the coisotropic reducti…