$F$manifolds and integrable systems of hydrodynamic type
Abstract
We investigate the role of HertlingManin 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 Fmanifold with compatible connection generalizing a structure introduced by Manin.
 Publication:

arXiv eprints
 Pub Date:
 May 2009
 arXiv:
 arXiv:0905.4054
 Bibcode:
 2009arXiv0905.4054L
 Keywords:

 Mathematics  Differential Geometry;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 LaTeX, 21 pages