2024
DOI: 10.1007/s10231-024-01462-y
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Partial separability and symplectic-Haantjes manifolds

Daniel Reyes,
Piergiulio Tempesta,
Giorgio Tondo

Abstract: 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-semisimple symplectic-Haantjes manifold for a given Hamiltonian system is sufficient to construct sets of coordinates (called Darboux-Haantjes coordinates) that allow both the partial separability of the associated Hamilton-Jacobi equations and the block-diagonalization of the operators of the corresponding Haantjes algebra. We also introdu… Show more

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