90 citations · 655 across the 56 of their papers we have counts for
47 papers · 1 filter
Almost-Hermitian and Hermitian metrics
Daniele Angella
We describe three problems in Hermitian geometry related to the scalar curvature of the Chern connection, aimed at identifying and constructing canonical metrics. They are chosen a…
Yamabe-type problems on compact Hermitian manifolds
Daniele Angella, Francesco Pediconi, Carlo Scarpa +2
We introduce and study a one-parameter Hermitian deformation of the Yamabe problem on compact complex manifolds. The deformation is defined by adding natural torsion terms to the R…
Cohomological properties and Hermitian metrics of complex non-Kähler manifolds
Daniele Angella, Nicoletta Tardini
We give a partial account of some problems concerning cohomological invariants and metric properties of complex non-Kähler manifolds.
Approximation results for compact Vaisman manifolds
Daniele Angella, Marco Miceli, Giovanni Placini
We extend the Tian approximation theorem for projective manifolds to a class of complex non-Kähler manifolds, the so-called Vaisman manifolds. More precisely, we study the problem…
A note on compatibility of special Hermitian structures
Daniele Angella, Alexandra Otiman
We prove that a compact Vaisman manifold cannot admit some type of special Hermitian metrics, such as special -Gauduchon metrics, -Kähler forms, Hermitian-symplectic…
A moment map for twisted-Hamiltonian vector fields on locally conformally Kähler manifolds
Daniele Angella, Simone Calamai, Francesco Pediconi +1
We extend the classical Donaldson-Fujiki interpretation of the scalar curvature as moment map in Kähler Geometry to the wider framework of locally conformally Kähler Geometry.
On metric and cohomological properties of Oeljeklaus-Toma manifolds
Danielle Angella, Arturas Dubickas, Alexandra Otiman +1
We study metric and cohomological properties of Oeljeklaus-Toma manifolds. In particular, we describe the structure of the double complex of differential forms and its Bott-Chern c…
A survey on locally Homogeneous almost-Hermitian spaces
Daniele Angella, Francesco Pediconi
We survey the theory of locally homogeneous almost-Hermitian spaces. In particular, by using the framework of varying Lie brackets, we write formulas for the curvature of all the G…
Leafwise flat forms on Inoue-Bombieri surfaces
Daniele Angella, Valentino Tosatti
We prove that every Gauduchon metric on an Inoue-Bombieri surface admits a strongly leafwise flat form in its -class. Using this result, we deduce unifor…
On the linearization stability of the Chern-scalar curvature
Daniele Angella, Francesco Pediconi
In this note, we study the local properties of the Chern-scalar curvature function by looking at its linearization. In particular, we study its linearization stability and the stru…
On cohomogeneity one Hermitian non-Kähler metrics
Daniele Angella, Francesco Pediconi
We investigate the geometry of Hermitian manifolds endowed with a compact Lie group action by holomorphic isometries with principal orbits of codimension one. In particular, we foc…
On locally conformally Kähler threefolds with algebraic dimension two
Daniele Angella, Maurizio Parton, Victor Vuletescu
The paper is part of an attempt of understanding non-Kähler threefolds. We start by looking at compact complex non-Kähler threefolds with algebraic dimension two and admitting loca…
Variational problems in conformal geometry
Daniele Angella, Nicolina Istrati, Alexandra Otiman +1
We study the Euler-Lagrange equation for several natural functionals defined on a conformal class of almost Hermitian metrics, whose expression involves the Lee form of the met…
Geometric formalities along the Chern-Ricci flow
Daniele Angella, Tommaso Sferruzza
In this paper, we study how the notions of geometric formality according to Kotschick and other geometric formalities adapted to the Hermitian setting evolve under the action of th…
Remarks on Chern-Einstein Hermitian metrics
Daniele Angella, Simone Calamai, Cristiano Spotti
We study some basic properties and examples of Hermitian metrics on complex manifolds whose traces of the curvature of the Chern connection are proportional to the metric itself.
Locally conformally Kähler structures on four-dimensional solvable Lie algebras
Daniele Angella, Marcos Origlia
We classify and investigate locally conformally Kähler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples…
On Gauduchon connections with Kähler-like curvature
Daniele Angella, Antonio Otal, Luis Ugarte +1
We study Hermitian metrics with a Gauduchon connection being "Kähler-like", namely, satisfying the same symmetries for curvature as the Levi-Civita and Chern connections. In partic…
Isometric immersions of locally conformally Kaehler manifolds
Daniele Angella, Michela Zedda
We investigate isometric immersions of locally conformally Kaehler metrics into Hopf manifolds. In particular, we study Hopf-induced metrics on compact complex surfaces.
Note on Dolbeault cohomology and Hodge structures up to bimeromorphisms
Daniele Angella, Tatsuo Suwa, Nicoletta Tardini +1
We construct a simply-connected compact complex non-Kähler manifold satisfying the -Lemma, and endowed with a balanced metric. To this aim, we were initially…
Kähler-Einstein metrics: Old and New
Daniele Angella, Cristiano Spotti
We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of…
Hodge numbers of a hypothetical complex structure on
Daniele Angella
These are the notes for the talk "Hodge numbers of a hypothetical complex structure on " given by the author at the MAM1 "(Non)-existence of complex structures on " held…
SageMath experiments in Differential and Complex Geometry
Daniele Angella
This note summarizes the talk by the author at the workshop "Geometry and Computer Science" held in Pescara in February 2017. We present how SageMath can help in research in Comple…
Structure of locally conformally symplectic Lie algebras and solvmanifolds
Daniele Angella, Giovanni Bazzoni, Maurizio Parton
We obtain structure results for locally conformally symplectic Lie algebras. We classify locally conformally symplectic structures on four-dimensional Lie algebras and construct lo…
Cohomologies of locally conformally symplectic manifolds and solvmanifolds
Daniele Angella, Alexandra Otiman, Nicoletta Tardini
We study the Morse-Novikov cohomology and its almost-symplectic counterpart on manifolds admitting locally conformally symplectic structures. More precisely, we introduce lcs cohom…