90 citations · 655 across the 56 of their papers we have counts for
6 papers · 1 filter
On the Bott-Chern and Aeppli cohomology
Daniele Angella
This survey summarizes the results discussed in a talk at "Bielefeld Geometry & Topology Days" held at Bielefeld University in July 2015. We are interested in quantitative and qual…
Quantitative and qualitative cohomological properties for non-Kähler manifolds
Daniele Angella, Nicoletta Tardini
We introduce a "qualitative property" for Bott-Chern cohomology of complex non-Kähler manifolds, which is motivated in view of the study of the algebraic structure of Bott-Chern co…
Complex structures of splitting type
Daniele Angella, Antonio Otal, Luis Ugarte +1
We study the six-dimensional solvmanifolds that admit complex structures of splitting type classifying the underlying solvable Lie algebras. In particular, many complex structures…
Locally conformal Hermitian metrics on complex non-Kähler manifolds
Daniele Angella, Luis Ugarte
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…
On small deformations of balanced manifolds
Daniele Angella, Luis Ugarte
We introduce a property of compact complex manifolds under which the existence of balanced metric is stable by small deformations of the complex structure. This property, which is…
On Chern-Yamabe problem
Daniele Angella, Simone Calamai, Cristiano Spotti
We initiate the study of an analogue of the Yamabe problem for complex manifolds. More precisely, fixed a conformal Hermitian structure on a compact complex manifold, we are concer…