Add to ORKGIn 1977, Gauduchon proved that on every compact hermitian manifold $(X, \omega)$ there exists a conformally equivalent hermitian metric $\omega_{\mathrm{G}}$ which satisfies $\mathrm{dd}^c \omega_{\mathrm{G}}^{n-1} = 0$. In this note, we extend this result to irreducible compact singular hermitian varieties which admit a smoothing
Following a suggestion made by J.-P. Demailly, for each k≥1, we endow, by an induction process, the ...
For holomorphic line bundles, it has turned out to be useful to not just consider smooth metrics, bu...
We study the existence of metrics of constant Hermitian scalar curvature on almost-Kähler manifolds ...
In 1977, Gauduchon proved that on every compact hermitian manifold $(X, \omega)$ there exists a conf...
In this thesis, we are interested in singular canonical and special metrics on a family of compact c...
Let (M, J, g, ω) be a complete Hermitian manifold of complex dimension n≥ 2. Let 1 ≤ p≤ n- 1 and ass...
We investigate degenerate special-Hermitian metrics on compact complex manifolds; in particular, deg...
We study the Euler–Lagrange equation for several natural functionals defined on a conformal class of...
In 1984, Gauduchon considered the functional of $L^2$-norm of his torsion $1$-form on a compact Herm...
A complex n-dimensional manifold M is said to be Kähler if it carries a Hermitian metric whose Kähle...
We study singular hermitian metrics on holomorphic vector bundles, following Berndtsson-Paun. Previo...
Artículo de publicación ISILet (M, g) be a two dimensional compact Riemannian manifold of genus g(M)...
Abstract. Let (M, g) be a two dimensional compact Riemannian manifold of genus g(M)> 1. Let f be ...
A Hermitian metric on a complex manifold is Kähler if and only if it approximates the Euclidean met...
The aim of this exposition is to place our recent joint work on anti-self-dual Hermitian surfaces in...
Following a suggestion made by J.-P. Demailly, for each k≥1, we endow, by an induction process, the ...
For holomorphic line bundles, it has turned out to be useful to not just consider smooth metrics, bu...
We study the existence of metrics of constant Hermitian scalar curvature on almost-Kähler manifolds ...
In 1977, Gauduchon proved that on every compact hermitian manifold $(X, \omega)$ there exists a conf...
In this thesis, we are interested in singular canonical and special metrics on a family of compact c...
Let (M, J, g, ω) be a complete Hermitian manifold of complex dimension n≥ 2. Let 1 ≤ p≤ n- 1 and ass...
We investigate degenerate special-Hermitian metrics on compact complex manifolds; in particular, deg...
We study the Euler–Lagrange equation for several natural functionals defined on a conformal class of...
In 1984, Gauduchon considered the functional of $L^2$-norm of his torsion $1$-form on a compact Herm...
A complex n-dimensional manifold M is said to be Kähler if it carries a Hermitian metric whose Kähle...
We study singular hermitian metrics on holomorphic vector bundles, following Berndtsson-Paun. Previo...
Artículo de publicación ISILet (M, g) be a two dimensional compact Riemannian manifold of genus g(M)...
Abstract. Let (M, g) be a two dimensional compact Riemannian manifold of genus g(M)> 1. Let f be ...
A Hermitian metric on a complex manifold is Kähler if and only if it approximates the Euclidean met...
The aim of this exposition is to place our recent joint work on anti-self-dual Hermitian surfaces in...
Following a suggestion made by J.-P. Demailly, for each k≥1, we endow, by an induction process, the ...
For holomorphic line bundles, it has turned out to be useful to not just consider smooth metrics, bu...
We study the existence of metrics of constant Hermitian scalar curvature on almost-Kähler manifolds ...