$F$-manifolds and integrable systems of hydrodynamic type
Differential Geometry
2016-09-19 v2 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.0905.4054,
title = {$F$-manifolds and integrable systems of hydrodynamic type},
author = {Paolo Lorenzoni and Marco Pedroni and Andrea Raimondo},
journal= {arXiv preprint arXiv:0905.4054},
year = {2016}
}
Comments
LaTeX, 21 pages; Sections 5 and 6 completely rewritten