7 citations · 8 across the 8 of their papers we have counts for
9 papers
Homogeneous Generalized Ricci flows II
Elia Fusi, Ramiro A. Lafuente, James Stanfield
We relate the generalized Ricci curvature of left-invariant generalized metrics on a Lie group with the Ricci curvature of certain metric Lie algebras. As an application, we prove…
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…
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…
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…
On the pluriclosed flow on Oeljeklaus-Toma manifolds
Elia Fusi, Luigi Vezzoni
We investigate the pluriclosed flow on Oeljeklaus-Toma manifolds. We parametrize left-invariant pluriclosed metrics on Oeljeklaus-Toma manifolds and we classify the ones which lift…
Solvability of a class of fully nonlinear elliptic equations on tori
Elia Fusi
We study the solvability of a class of fully nonlinear equations on the flat torus. The equations arise in the study of some Calabi-Yau type problems in torus bundles.
The prescribed Chern scalar curvature problem
Elia Fusi
The paper is an attempt to resolve the prescribed Chern scalar curvature problem. We look for solutions within the conformal class of a fixed Hermitian metric. We divide the proble…