Generalised (bi-)Hamiltonian structures of hydrodynamic type are defined via geometric data and can be associated to any (bi-)flat F-manifold in a manner compatible with its principal hierarchy.
Dubrovin,Flat pencils of metrics and Frobenius manifolds, Integrable systems and al- gebraic geometry (Kobe/Kyoto), 1997, 47-72, World Sci
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Generalised (bi-)Hamiltonian structures of hydrodynamic type and (bi-)flat F-manifolds
Generalised (bi-)Hamiltonian structures of hydrodynamic type are defined via geometric data and can be associated to any (bi-)flat F-manifold in a manner compatible with its principal hierarchy.