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Liouville-Arnold theorem for homogeneous symplectic and contact Hamiltonian systems
Leonardo Colombo, Manuel de León, Manuel Lainz +1
A Hamiltonian system is completely integrable (in the sense of Liouville) if there exist as many independent integrals of motion in involution as the dimension of the configuration…
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…