5 papers
A Levi-type decomposition on two-step solvable Lie algebras with a complex structure
Elia Fusi, Giovanni Gentili
We prove that a large class of -step solvable Lie algebras equipped with a complex structure admits a Levi-Malcev type decomposition, adapted to . As an application, we p…
Long-time existence of the pluriclosed flow on some fibrations
Elia Fusi, James Stanfield, Luigi Vezzoni
We prove long-time existence of the pluriclosed flow on certain compact quotients of Lie groups for non-invariant initial data, as well as on some holomorphic principal torus bundl…
Special metrics in hypercomplex geometry
Elia Fusi, Giovanni Gentili
We investigate the existence and geometric properties of special hyperhermitian metrics. First of all, we characterise hypercomplex structures with Obata holonomy in $\mathrm{SL}(n…
Blowing up Chern-Ricci flat balanced metrics
Elia Fusi, Federico Giusti
Given a compact Chern-Ricci flat balanced orbifold, we show that its blow-up at a finite family of smooth points admits constant Chern scalar curvature balanced metrics, extending…
The homogeneous generalized Ricci flow
Elia Fusi, Ramiro A. Lafuente, James Stanfield
We develop a framework inspired by Lauret's "bracket flow" to study the generalized Ricci flow, as introduced by Streets, on discrete quotients of Lie groups. As a first applicatio…