90 citations · 399 across the 51 of their papers we have counts for
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Rank of the Nijenhuis tensor on parallelizable almost complex manifolds
Lorenzo Sillari, Adriano Tomassini
We study almost complex structures on parallelizable manifolds via the rank of their Nijenhuis tensor. First, we show how the computations of such rank can be reduced to finding sm…
Invariants of almost complex and almost Kähler manifolds
Tom Holt, Riccardo Piovani, Adriano Tomassini
Let be a compact almost complex manifold. The almost complex invariant is defined as the complex dimension of the cohomology space $\left\{\left[α\right]\i…
Almost complex parallelizable manifolds: Kodaira dimension and special structures
Andrea Cattaneo, Antonella Nannicini, Adriano Tomassini
We study the Kodaira dimension of a real parallelizable manifold , with an almost complex structure in standard form with respect to a given parallelism. For we…
On cohomological and formal properties of Strong Kähler with torsion and astheno-Kähler metrics
Tommaso Sferruzza, Adriano Tomassini
We provide families of compact astheno-Kähler nilmanifolds and we study the behaviour of the complex blowup of such manifolds. We prove that the existence of an astheno-Kähler metr…
An integral condition involving -harmonic -forms
Anna Fino, Nicoletta Tardini, Adriano Tomassini
We study compact almost complex manifolds admitting a Hermitian metric satisfying an integral condition involving -harmonic -forms. We prove that this in…
On the dimension of Dolbeault harmonic (1,1)-forms on almost Hermitian 4-manifolds
Riccardo Piovani, Adriano Tomassini
We prove that the dimension of the space of Dolbeault harmonic -forms is not necessarily always equal to on a compact almost complex 4-ma…