7 citations · 7 across the 5 of their papers we have counts for
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Bott-Chern formality and Massey products on strong Kähler with torsion and Kähler solvmanifolds
Tommaso Sferruzza, Adriano Tomassini
We study the interplay between geometrically-Bott-Chern-formal metrics and SKT metrics. We prove that a -dimensional nilmanifold endowed with a invariant complex structure admit…
Almost complex blow-ups and positive closed -forms on -dimensional almost complex manifolds
Richard Hind, Tommaso Sferruzza, Adriano Tomassini
Let be a -dimensional almost complex manifold and let . We define the notion of almost complex blow-up of at . We prove the existence of almost compl…
Deformations of astheno-Kähler metrics
Tommaso Sferruzza
The property of admitting an astheno-Kähler metric is not stable under the action of small deformations of the complex structure of a compact complex manifold. In this paper, we pr…
Dolbeault and Bott-Chern formalities: deformations and -lemma
Tommaso Sferruzza, Adriano Tomassini
It is proved that the properties of being Dolbeault formal and geometrically-Bott-Chern-formal are not closed under holomorphic deformations of the complex structure. Further, we c…
-Kähler and balanced structures on nilmanifolds with nilpotent complex structures
Tommaso Sferruzza, Nicoletta Tardini
Let be a nilmanifold with a left-invariant nilpotent complex structure. We study the existence of -Kähler structures (which include Kähler and balanced metrics) on .…