2009/05/28 by Paolo Lorenzoni, Marco Pedroni, Andrea Raimondo · 1 citation
Mathematics · Physics and Astronomy · #math.DG #math-ph #math.MP #nlin.SI
published as Archivum Mathematicum, vol. 47 (2011), issue 3, pp. 163-180 · LaTeX, 21 pages; Sections 5 and 6 completely rewritten
arxiv created 2009/05/28 · arxiv updated 2016/09/19
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.