Embedding theorems and Kahlerity for 1-convex spaces.
Erratum : déformations infinitésimales des espaces riemanniens localement symétriques. II. La conjecture infinitésimale de Blaschke pour les espaces projectifs complexes
Estimations pour l’opérateur d’un fibré vectoriel holomorphe semi-positif au-dessus d’une variété kählérienne complète
Example of a six-dimensional LCK solvmanifold
The purpose of this paper is to prove that there exists a lattice on a certain solvable Lie group and construct a six-dimensional locally conformal Kähler solvmanifold with non-parallel Lee form.
Examples of compact complex manifolds with no Kahler structure
Examples of compact holomorphic symplectic mainfolds which are not Kählerian II.
Existence and deformation theory for scalar-flat Kähler metrics on compact complex surfaces.
Existence and Degeneration of Kähler-Einstein Metrics on Minimal Algebraic Varieties of General Type.
Existence des applications harmoniques et courbure des variétés
Extending Calabi’s conjecture to complete noncompact Kähler manifolds which are asymptotically ,
Extension of Holomorphic Maps into Hermitian Manifolds.
Extension Theorems for Reductive Group Actions on Compact Kaehler Manifolds.
Extremal Kähler Metrics and Complex Deformation Theory.
Extremal Kähler metrics on blow-ups of parabolic ruled surfaces
New examples of extremal Kähler metrics are given on blow-ups of parabolic ruled surfaces. The method used is based on the gluing construction of Arezzo, Pacard and Singer [5]. This enables to endow ruled surfaces of the form with special parabolic structures such that the associated iterated blow-up admits an extremal metric of non-constant scalar curvature.
Extremal metrics and lower bound of the modified K-energy
We provide a new proof of a result of X.X. Chen and G.Tian [5]: for a polarized extremal Kähler manifold, the minimum of the modified K-energy is attained at an extremal metric. The proof uses an idea of C. Li [16] adapted to the extremal metrics using some weighted balanced metrics.
Extrinsic symmetric submanifolds contained in quaternionic symmetric spaces
Factorization of semisimple discrete representations of Kähler groups.
Families of -symplectic metrics on full flag manifolds.
Fibrations en tores isotropes et lagrangiens
Fibrations of compact Kähler manifolds in terms of cohomological properties of their fundamental groups
We prove fibration theorems on compact Kähler manifolds with conditions on first cohomology groups of fundamental groups with respect to unitary representations into Hilbert spaces. If the fundamental group T of compact Kähler manifold X violates Property (T) of Kazhdan’s, then for some unitary representation . By our earlier work there exists a -closed holomorphic 1-form with coefficients twisted by some unitary representation , possibly non-isomorphic to . Taking norms we obtains a positive...