81 citations · 250 across the 35 of their papers we have counts for
50 papers
The parabolic quaternionic Calabi-Yau equation on hyperkähler manifolds
Lucio Bedulli, Giovanni Gentili, Luigi Vezzoni
We show that the parabolic quaternionic Monge-Ampère equation on a compact hyperkähler manifold has always a long-time solution which once normalized converges smoothly to a soluti…
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…
A remark on the quaternionic Monge-Ampère equation on foliated manifolds
Giovanni Gentili, Luigi Vezzoni
We study the quaternionic Monge-Ampère equation on HKT manifolds admitting an HKT foliation having corank 4. We show that in this setting the quaternionic Monge-Ampère equation has…
A parabolic approach to the Calabi-Yau problem in HKT geometry
Lucio Bedulli, Giovanni Gentili, Luigi Vezzoni
We consider the natural generalization of the parabolic Monge-Ampère equation to HKT geometry. We prove that in the compact case the equation has always a short-time solution and w…
Pluriclosed and Strominger Kähler-like metrics compatible with abelian complex structures
Anna Fino, Nicoletta Tardini, Luigi Vezzoni
We show that the existence of a left-invariant pluriclosed Hermitian metric on a unimodular Lie group with a left-invariant abelian complex structure forces the group to be -ste…
On the dynamical behaviour of the generalized Ricci flow
Alberto Raffero, Luigi Vezzoni
Motivated by Müller-Haslhofer results on the dynamical stability and instability of Ricci-flat metrics under the Ricci flow, we obtain dynamical stability and instability results f…