6 citations · 11 across the 8 of their papers we have counts for
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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,…
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…