4 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…