2 papers
math-ph2024
Partial separability and symplectic-Haantjes manifolds
Daniel Reyes, Piergiulio Tempesta, Giorgio Tondo
A theory of partial separability for classical Hamiltonian systems is proposed in the context of Haantjes geometry. As a general result, we show that the knowledge of a non-semisim…
math-ph2024
Hamiltonian integrable systems in a magnetic field and Symplectic-Haantjes geometry
OndÅej Kubů, Daniel Reyes, Piergiulio Tempesta +1
We investigate the geometry of classical Hamiltonian systems immersed in a magnetic field in three-dimensional Riemannian configuration spaces. We prove that these systems admit no…