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- W1639005462 abstract "We consider the action of a special class of reciprocal transformations on the principal hierarchy associated to a semisimple F-manifold with compatible flat structure (M,∘,∇,e). Under some additional assumptions, the hierarchy obtained applying these reciprocal transformations is also associated to an F-manifold with compatible flat structure that we call reciprocal F-manifold. We also consider the special case of bi-flat F-manifolds (M,∘,∗,∇(1),∇(2),e,E) and we study reciprocal transformations preserving flatness of both the connections ∇(1) and ∇(2) and how they act on corresponding solutions of an augmented Darboux–Egorov system." @default.
- W1639005462 created "2016-06-24" @default.
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- W1639005462 date "2013-08-01" @default.
- W1639005462 modified "2023-09-28" @default.
- W1639005462 title "Reciprocal F-manifolds" @default.
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- W1639005462 doi "https://doi.org/10.1016/j.geomphys.2013.03.029" @default.
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