6 papers
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 coisotropic embedding theorem for pre-multisymplectic manifolds
Luca Schiavone
We prove a coisotropic embedding theorem à là Gotay for pre-multisymplectic manifolds.
The coisotropic embedding theorem for pre-symplectic manifolds: an alternative proof
Luca Schiavone
We present an alternative proof of the Coisotropic Embedding Theorem in which the geometric choice of a connection is recast as the algebraic choice of an embedding into the cotang…
The inverse problem for a class of implicit differential equations and the coisotropic embedding theorem
Luca Schiavone
We carry on the approach used in [Sch] to provide a solution for the inverse problem of the calculus of variations for Maxwell equations in vacuum and we provide an abstract theory…
The inverse problem within free Electrodynamics and the coisotropic embedding theorem
Luca Schiavone
We present the coisotropic embedding theorem as a tool to provide a solution for the inverse problem of the calculus of variations for a particular class of implicit differential e…