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arXiv · 0905.4054

$F$-manifolds and integrable systems of hydrodynamic type

Paolo Lorenzoni·Marco Pedroni·Andrea Raimondo
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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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BibTeXRIS

Paolo Lorenzoni, Marco Pedroni, Andrea Raimondo. 2009-05-25. $F$-manifolds and integrable systems of hydrodynamic type. https://arxiv.org/abs/0905.4054

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