Address:
John Alexander Cruz Morales, Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia,
Alexander Torres-Gomez, Departamento de Matemáticas y Estadística, Universidad del Norte, Barranquilla, Colombia,
E-mail:
jacruzmo@unal.edu.co
alexander.torres.gomez@gmail.com
Abstract: In this note we introduce the concept of F-algebroid, and give its elementary properties and some examples. We provide a description of the almost duality for Frobenius manifolds, introduced by Dubrovin, in terms of a composition of two anchor maps of a unique cotangent F-algebroid.
AMSclassification: primary 53C15; secondary 53D45.
Keywords: F-manifolds, Frobenius manifolds, Lie algebroids.
DOI: 10.5817/AM2019-2-109