24 citations · 201 across the 32 of their papers we have counts for
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Bi-flat F-structures as differential bicomplexes and Gauss-Manin connections
Alessandro Arsie, Paolo Lorenzoni
We show that a bi-flat F-structure on a manifold defines a differential bicomplex on forms with value on the t…
A Dubrovin-Frobenius manifold structure of NLS type on the orbit space of
Alessandro Arsie, Paolo Lorenzoni, Igor Mencattini +1
Generalizing a construction presented in [3], we show that the orbit space of less the image of coordinate lines under the quotient map is equipped with two Dubrovin-Frobeniu…
Riemannian F-manifolds, bi-flat F-manifolds, and flat pencils of metrics
Alessandro Arsie, Alexandr Buryak, Paolo Lorenzoni +1
In this paper we study relations between various natural structures on F-manifolds. In particular, given an arbitrary Riemannian F-manifold we present a construction of a canonical…
Maslov class and minimality in Calabi-Yau manifolds
Alessandro Arsie
Generalizing the construction of the Maslov class for a Lagrangian embedding in a symplectic vector space, we prove that it is possible to give a consistent definition of this clas…
Special Lagrangian Geometry in irreducible symplectic 4-folds
Alessandro Arsie
Having fixed a Kaehler class and the unique corresponding hyperkaehler metric, we prove that all special Lagrangian submanifolds of an irreducible symplectic 4-fold X are bi-Lagran…