We investigate the role of Hertling-Manin condition on the structure constants of an associative commutative algebra in the theory of integrable systems of hydrodynamic type. In such a framework we introduce the notion of F-manifold with compatible connection generalizing a structure introduced by Manin
Lorenzoni, P., Pedroni, M., Raimondo, A. (2011). F-manifolds and integrable systems of hydrodynamic type. ARCHIVUM MATHEMATICUM, 47(3), 163-180.
F-manifolds and integrable systems of hydrodynamic type
LORENZONI, PAOLO;RAIMONDO, ANDREA
2011
Abstract
We investigate the role of Hertling-Manin condition on the structure constants of an associative commutative algebra in the theory of integrable systems of hydrodynamic type. In such a framework we introduce the notion of F-manifold with compatible connection generalizing a structure introduced by Manin
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