81 citations · 250 across the 35 of their papers we have counts for
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math.DG2021
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…
math.DG2021
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…
math.DG2021★ 1 cited
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…