• Corpus ID: 17808717

$F$-manifolds and integrable systems of hydrodynamic type

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