13 citations · 42 across the 13 of their papers we have counts for
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-Lemma and -Kähler structures on families of solvmanifolds
Andrea Cattaneo, Adriano Tomassini
We provide families of compact -dimensional complex non Kähler manifolds satisfying the -Lemma, with holomoprhically trivial canonical bundle, carr…
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…
Primitive decompositions of Dolbeault harmonic forms on compact almost-Kähler manifolds
Andrea Cattaneo, Nicoletta Tardini, Adriano Tomassini
Let be a compact -dimensional almost-Kähler manifold. We prove primitive decompositions of -, -harmonic forms on in bidegree $(1,…
On Kodaira dimension of almost complex 4-dimensional solvmanifolds without complex structures
Andrea Cattaneo, Antonella Nannicini, Adriano Tomassini
The aim of this paper is to continue the study of Kodaira dimension for almost complex manifolds, focusing on the case of compact -dimensional solvmanifolds without any integrab…
Kodaira dimension of almost Kähler manifolds and curvature of the canonical connection
Andrea Cattaneo, Antonella Nannicini, Adriano Tomassini
The notion of Kodaira dimension has recently been extended to general almost complex manifolds. In this paper we focus on the Kodaira dimension of almost Kähler manifolds, providin…
Complex symplectic structures and the -lemma
Andrea Cattaneo, Adriano Tomassini
In this paper we study complex symplectic manifolds, i.e., compact complex manifolds which admit a holomorphic -form which is -closed and non-degenerate, and in…