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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2012 Volume 8, 076, 7 pp. (Mi sigma753)

This article is cited in 8 papers

Recursion operators and Frobenius manifolds

Franco Magri

Dipartimento di Matematica ed Applicazioni, Università degli Studi di Milano Bicocca, Via Roberto Cozzi 53, 20125 Milano, Italy

Abstract: In this note I exhibit a “discrete homotopy” which joins the category of F-manifolds to the category of Poisson–Nijenhuis manifolds, passing through the category of Frobenius manifolds.

Keywords: F-manifolds; Frobenius manifolds; Poisson–Nijenhuis manifolds.

MSC: 35D45; 53D17; 37K10

Received: June 1, 2012; in final form October 5, 2012; Published online October 19, 2012

Language: English

DOI: 10.3842/SIGMA.2012.076



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