Some properties of the locally conformal Kähler manifold
Some topological aspects of C* actions on compact Kaehler manifolds.
Sous-variétés complexes d'Einstein de l'espace projectif
Spectral Geometry and the Kaehler Condition for Complex Manifolds.
Spectral Geometry of Compact Hermitian Symmetric Submanifolds.
Stabilité de la classe des variétés Kählériennes par certains morphismes propres.
Stabilité du fibré tangent des surfaces de Del Pezzo.
Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds.
Stability of Einstein - Hermitian vector bundles.
Stability of the tangent bundle and existence of a Kähler-Einstein metric.
Stability of vector bundles and extremal metrics.
Stability under deformations of Hermite-Einstein almost Kähler metrics
On a -dimensional compact symplectic manifold, we consider a smooth family of compatible almost-complex structures such that at time zero the induced metric is Hermite-Einstein almost-Kähler metric with zero or negative Hermitian scalar curvature. We prove, under certain hypothesis, the existence of a smooth family of compatible almost-complex structures, diffeomorphic at each time to the initial one, and inducing constant Hermitian scalar curvature metrics.
Stable bundles on hypercomplex surfaces
A hypercomplex manifold is a manifold equipped with three complex structures I, J, K satisfying the quaternionic relations. Let M be a 4-dimensional compact smooth manifold equipped with a hypercomplex structure, and E be a vector bundle on M. We show that the moduli space of anti-self-dual connections on E is also hypercomplex, and admits a strong HKT metric. We also study manifolds with (4,4)-supersymmetry, that is, Riemannian manifolds equipped with a pair of strong HKT-structures that have opposite...
Steinness of universal covers of certain compact Kähler manifolds.
Strong Rigidity of Irreducible Quotients of Polydiscs of Finite Volume.
Strong rigidity of positive quaternion Kähler manifolds.
Strongly not relatives Kähler manifolds
In this paper we study Kähler manifolds that are strongly not relative to any projective Kähler manifold, i.e. those Kähler manifolds that do not share a Kähler submanifold with any projective Kähler manifold even when their metric is rescaled by the multiplication by a positive constant. We prove two results which highlight some relations between this property and the existence of a full Kähler immersion into the infinite dimensional complex projective space. As application we get that the 1-parameter...
Structure des feuilletages kähleriens en courbure semi-négative
Nous étudions dans cet article quelques propriétés des feuilletages (transversalement) kähleriens sur une variété compacte lorsque la forme de Ricci transverse est « suffisamment » négative. Nous établissons plus précisément que l’algébre de Lie du pseudo-groupe d’holonomie est semi-simple. Il s’agit en fait dune version feuilletée d’un résultat dû à Nadel relatif au groupe d’automorphismes de certaines variétés complexes compactes. Ceci fournit un critére qui assure que les feuilles d’un feuilletage...
Structure Theorems for Complete Kähler Manifolds and Applications to Lefschetz Type Theorems.
Structures de Weyl admettant des spineurs parallèles