F-manifolds with flat structure and Dubrovin's duality

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dc.creatorManin, Yuri I.
dc.date2004-02-27
dc.date.accessioned2026-07-07T05:05:47Z
dc.date.available2026-07-07T05:05:47Z
dc.descriptionThis work continues the study of $F$--manifolds $(M,\circ)$, first defined by Hertling and Manin and investigated in [He]. The notion of a compatible flat structure $\nabla$ is introduced, and it is shown that many constructions known for Frobenius manifolds do not in fact require invariant metrics and can be developed for all such triples $(M,\circ ,\nabla).$ In particular, we extend and generalize recent Dubrovin's duality.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0402451
dc.identifierhttp://arxiv.org/abs/math/0402451
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70297
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject14H10
dc.titleF-manifolds with flat structure and Dubrovin's duality
dc.typetext

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