# $F$-manifolds and integrable systems of hydrodynamic type

@article{Lorenzoni2009FmanifoldsAI, title={\$F\$-manifolds and integrable systems of hydrodynamic type}, author={Paolo Lorenzoni and Marco Pedroni and Andrea Raimondo}, journal={arXiv: Differential Geometry}, year={2009} }

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.

## 36 Citations

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