$F$-manifolds and integrable systems of hydrodynamic type

Details $F$-manifolds and integrable systems of hydrodynamic type $F$-manifolds and integrable systems of hydrodynamic type

2009-05-25

arxiv.org/abs/0905.4054v2

Mathematics

Differential Geometry

LaTeX, 21 pages; Sections 5 and 6 completely rewritten

Scientific paper

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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