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math.SG2024
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…
math-ph2024
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…