The solution of the Calabi Conjecture by Yau implies that every Kähler Calabi–Yau manifold
XX admits a metric with holonomy contained in SU (n) SU(n), and that these metrics are …

In this paper we introduce several new cohomologies of almost complex manifolds, among
which stands a generalization of Bott–Chern and Aeppli cohomologies defined using the …

By a remarkable result by WL Chow,[Cho49, Theorem V], see also [Ser56], projective
manifolds (that is, compact complex submanifolds of CPn WD CnC1 n f0g ı. C n f0g/, for n 2 …

We study conditions under which sub-complexes of a double complex of vector spaces
allow to compute the Bott–Chern cohomology. We are especially aimed at studying the Bott …

We determine the 6D solvmanifolds admitting an invariant complex structure with
holomorphically trivial canonical bundle. Such complex structures are classified up to …

We introduce a natural map from the space of pure-type complex differential forms on a
complex manifold to the corresponding one on the infinitesimal deformations of this complex …

We present an effective construction of non-Kähler supersymmetric mirror pairs in the sense
of Lau, Tseng and Yau (Commun. Math. Phys. 340: 145–170, 2015) starting from left …

We study complex non-Kähler manifolds with Hermitian metrics being locally conformal to
metrics with special cohomological properties. In particular, we provide examples where the …

By use of a natural map introduced recently by the first and third authors from the space of
pure-type complex differential forms on a complex manifold to the corresponding one on the …

Remarks on astheno-Kähler manifolds, Bott-Chern and Aeppli cohomology groups | Annals of
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