activity
20092026
most citedOn the -Lemma and Bott-Chern cohomology

90 citations · 655 across the 56 of their papers we have counts for

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8 papers · 1 filter

math.CV2025

Hermitian metrics on complex non-Kähler manifolds

Daniele Angella

In this survey, we consider various analytic problems related to the geometry of the Chern connection on Hermitian manifolds, such as the existence of metrics with constant Chern-s…

math.CV2022

Plurisigned hermitian metrics

Daniele Angella, Vincent Guedj, Chinh H. Lu

Let be a compact hermitian manifold of dimension . We study the asymptotic behavior of Monge-Ampère volumes , when varies in the set of h…

math.CV2016★ 13 cited

Slice-quaternionic Hopf surfaces

Daniele Angella, Cinzia Bisi

We investigate slice-quaternionic Hopf surfaces. In particular, we construct new structures of slice-quaternionic manifold on , we study their group…

math.CV2015★ 3 cited

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…

math.CV2015★ 14 cited

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…

math.CV2014

Stability of holomorphically-parallelizable manifolds

Daniele Angella, Adriano Tomassini

We prove a stability theorem for families of holomorphically-parallelizable manifolds in the category of Hermitian manifolds.

math.CV2013★ 2 cited

Bott-Chern cohomology and q-complete domains

Daniele Angella, Simone Calamai

In studying the Bott-Chern and Aeppli cohomologies for q-complete manifolds, we introduce the class of cohomologically Bott-Chern q-complete manifolds.

math.CV2013★ 30 cited

Cohomologies of deformations of solvmanifolds and closedness of some properties

Daniele Angella, Hisashi Kasuya

We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of solvmanifolds by means of finite-dimensional complexes. By these techniques, we…