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arXiv · 0912.3697

Natural connections for semi-Hamiltonian systems: The case of the $ε$-system

Paolo Lorenzoni·Marco Pedroni
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Abstract

Given a semi-Hamiltonian system, we construct an $F$-manifold with a connection satisfying a suitable compatibility condition with the product. We exemplify this procedure in the case of the so-called $ε$-system. The corresponding connection turns out to be flat, and the flat coordinates give rise to additional chains of commuting flows

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Paolo Lorenzoni, Marco Pedroni. 2010-01-14. Natural connections for semi-Hamiltonian systems: The case of the $ε$-system. https://doi.org/10.1007/s11005-011-0469-x

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