Singularities and Kodaira dimension of the moduli space of flat Hermitian-Yang-Mills connections
Some critical almost Kähler structures
We consider the set of all almost Kähler structures (g,J) on a 2n-dimensional compact orientable manifold M and study a critical point of the functional with respect to the scalar curvature τ and the *-scalar curvature τ*. We show that an almost Kähler structure (J,g) is a critical point of if and only if (J,g) is a Kähler structure on M.
Some embeddings of the space of partially complex structures.
Some examples of almost Kähler 4-manifolds.
Some Hermite Metrics in Complex Finsler Spaces
Some Hermite metrics in complex Finsler spaces.
Some Kähler structures on the tangent bundle of a space form.
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...