5 papers
Reduction of hybrid Hamiltonian systems with non-equivariant momentum maps
Leonardo Colombo, María Emma Eyrea Irazú, María Eugenia García +2
We develop a reduction scheme à la Marsden-Weinstein-Meyer for hybrid Hamiltonian systems. Our method does not require the momentum map to be equivariant, neither to be preserved b…
Homogeneous bi-Hamiltonian structures and integrable contact systems
Leonardo Colombo, Manuel de León, María Emma Eyrea Irazú +1
Bi-Hamiltonian structures can be utilised to compute a maximal set of functions in involution for certain integrable systems, given by the eigenvalues of the recursion operator rel…
Symplectization of certain Hamiltonian systems in fibered almost-symplectic manifolds
Francesco Fassò, Nicola Sansonetto
There is an important difference between Hamiltonian-like vector fields in an almost-symplectic manifold , compared to the standard case of a symplectic manifold: in the alm…
The Optimal Reduction of a 2-Body Problem in R^3
Hernán Cendra, María Eugenia García
In this paper we describe optimal reduction for the system of two bodies in whose Hamiltonian is invariant under rotations and translations. In doing this, we introd…
On Quantum Momentum Maps associated to non Ad*-equivariant Classical Momentum Maps
Maria Eugenia Garcia, Marcela Zuccalli
In an interesting work M.F. Muller-Bahns and N. Neumaier ("Some remarks on g-invariant Fedosov star products and quantum momentum mappings". Journal of Geometry and Physics 50 (200…