• Corpus ID: 17808717

# $F$-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}
}
• Published 25 May 2009
• Mathematics
• 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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