Let $(M,\omega) $ be a compact symplectic manifold. We denote by $\ac $ the space of all
almost complex structure compatible with $\omega $. $\ac $ has a natural foliation structure …

We study the problem of existence of K\" ahler--Einstein metrics on smooth Fano threefolds
of Picard rank one and anticanonical degree $22 $ that admit a faithful action of the …

We study the problem of existence of Kähler–Einstein metrics on smooth Fano threefolds of
Picard rank one and anticanonical degree 22 that admit a faithful action of the multiplicative …

On a 4-dimensional compact symplectic manifold, we consider a smooth family of
compatible almost-complex structures such that at time zero the induced metric is Hermite …

We investigate geometric invariants of the one parameter family of Mukai threefolds that
admit $\mathbb C^{*} $ action. In particular we find the invariant divisors in the anticanonical …

We consider the stability of Sasaki-extremal metrics under deformations of the transversal
complex structure of the foliation \mathscrF_ξ induced by the Reeb vector field ξ. Let g be a …

In this paper, we provide new necessary and sufficient conditions for the existence of Kähler–
Einstein metrics on small deformations of a Fano Kähler–Einstein manifold. We also show …

We consider weighted solitons on Fano manifolds which include Kaehler-Ricci solitons,
Mabuchi solitons and base metrics which induce Calabi-Yau cone metrics outside the zero …

The notion of coupled Kähler–Einstein metrics was introduced recently by Hultgren–Witt
Nyström. In this paper we discuss deformation of a coupled Kähler–Einstein metric on a …

Ce texte de synthèse présente des travaux en géométrie hermitienne, à l'interface de la
géométrie algébrique complexe, de l'analyse géométrique et de la physique mathématique …