Abstract:We show that the theory of classical Hamiltonian systems admitting separation variables can be formulated in the context of (ω, H ) structures. They are essentially symplectic manifolds endowed with a Haantjes algebra H , namely an algebra of (1,1) tensor fields with vanishing Haantjes torsion. A special class of coordinates, called Darboux-Haantjes coordinates, will be constructed from the Haantjes algebras associated with a separable system. These coordinates enable the additive separation of variables of th… Show more
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