F-manifolds and integrable systems of hydrodynamic type
classification
🧮 math.DG
math-phmath.MPnlin.SI
keywords
hydrodynamicintegrablestructuresystemstypealgebraassociativecommutative
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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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