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.
Natural Connections for Semi-Hamiltonian Systems: the case of the ε-system
PEDRONI, Marco
2011-01-01
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.File allegato/i alla scheda:
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