In this note, we construct, for every n=4, a non-Kähler compact complex manifold X of complex dimension n admitting a balanced metric and an astheno-Kähler metric, which is in addition k-th Gauduchon for any 1<=k<=n-1
We complete the classification of compact Hermitian manifolds admitting a flat Gauduchon connection....
Given a Fano manifold $(X,\omega)$ we develop a variational approach to characterize analytically th...
A Hermitian metric on a complex manifold is Kähler if and only if it approximates the Euclidean met...
We study the existence of three classes of Hermitian metrics on certain types of compact complex man...
We show that a Kähler-Ricci soliton on a Fano manifold can always be smoothly approximated by a sequ...
We construct invariant generalized Gauduchon metrics on the product of two complex nilmanifolds that...
We study the Strominger system with fixed balanced class. We show that classes which are the square ...
We determine the 6D solvmanifolds admitting an invariant complex structure with holomorphically triv...
Motivated by the construction based on topological suspension of a family of compact non-K\"ahler co...
Given a non-K\"ahler Calabi-Yau orbifold with a finite family of isolated singularities endowed with...
An n-dimensional strictly pseudoconvex Hartogs domain D_F can be equipped with a natural Kähler metr...
We study an eigenvalue problem for the Laplacian on a compact K\"{a}hler manifold. Considering the $...
A complex n-dimensional manifold M is said to be Kähler if it carries a Hermitian metric whose Kähle...
In this paper we investigate the existence of invariant SKT, balanced and generalized K\"ahler struc...
We construct a simply-connected compact complex non-Kahler manifold satisfying the partial derivativ...
We complete the classification of compact Hermitian manifolds admitting a flat Gauduchon connection....
Given a Fano manifold $(X,\omega)$ we develop a variational approach to characterize analytically th...
A Hermitian metric on a complex manifold is Kähler if and only if it approximates the Euclidean met...
We study the existence of three classes of Hermitian metrics on certain types of compact complex man...
We show that a Kähler-Ricci soliton on a Fano manifold can always be smoothly approximated by a sequ...
We construct invariant generalized Gauduchon metrics on the product of two complex nilmanifolds that...
We study the Strominger system with fixed balanced class. We show that classes which are the square ...
We determine the 6D solvmanifolds admitting an invariant complex structure with holomorphically triv...
Motivated by the construction based on topological suspension of a family of compact non-K\"ahler co...
Given a non-K\"ahler Calabi-Yau orbifold with a finite family of isolated singularities endowed with...
An n-dimensional strictly pseudoconvex Hartogs domain D_F can be equipped with a natural Kähler metr...
We study an eigenvalue problem for the Laplacian on a compact K\"{a}hler manifold. Considering the $...
A complex n-dimensional manifold M is said to be Kähler if it carries a Hermitian metric whose Kähle...
In this paper we investigate the existence of invariant SKT, balanced and generalized K\"ahler struc...
We construct a simply-connected compact complex non-Kahler manifold satisfying the partial derivativ...
We complete the classification of compact Hermitian manifolds admitting a flat Gauduchon connection....
Given a Fano manifold $(X,\omega)$ we develop a variational approach to characterize analytically th...
A Hermitian metric on a complex manifold is Kähler if and only if it approximates the Euclidean met...
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