13 citations · 43 across the 6 of their papers we have counts for
7 papers
The Hull-Strominger system and the Anomaly flow on a class of solvmanifolds
Mattia Pujia
We study the Hull-Strominger system and the Anomaly flow on a special class of 2-step solvmanifolds, namely the class of almost-abelian Lie groups. In this setting, we characterize…
The Anomaly flow on nilmanifolds
Mattia Pujia, Luis Ugarte
We study the Anomaly flow on -step nilmanifolds with respect to any Hermitian connection in the Gauduchon line. In the case of flat holomorphic bundle, the general solution to t…
Positive Hermitian curvature flow on complex 2-step nilpotent Lie groups
Mattia Pujia
We study the positive Hermitian curvature flow of left-invariant metrics on complex 2-step nilpotent Lie groups. In this setting we completely characterize the long-time behaviour…
Hermitian curvature flow on complex locally homogeneous surfaces
Francesco Pediconi, Mattia Pujia
We study the Hermitian curvature flow of locally homogeneous non-Kähler metrics on compact complex surfaces. In particular, we characterize the long-time behavior of the solutions…
Expanding solitons to the Hermitian curvature flow on complex Lie groups
Mattia Pujia
We investigate the algebraic structure of complex Lie groups equipped with left-invariant metrics which are expanding semi-algebraic solitons to the Hermitian curvature flow (HCF).…
Hermitian Curvature flow on unimodular Lie groups and static invariant metrics
Ramiro A. Lafuente, Mattia Pujia, Luigi Vezzoni
We investigate the Hermitian curvature flow (HCF) of left-invariant metrics on complex unimodular Lie groups. We show that in this setting the flow is governed by the Ricci-flow ty…
A remark on the Bismut-Ricci form on 2-step nilmanifolds
Mattia Pujia, Luigi Vezzoni
In this note we observe that on a 2-step nilpotent Lie group equipped with a left-invariant SKT structure the (1,1)-part of the Bismut-Ricci form is seminegative definite. As appli…