Spaces with non-symmetric affine connection.
Structure au bord des variétés à courbure négative
Structures de Weyl et théorèmes d'annulation sur une variété conforme autoduale
Submanifold Dirac operators with torsion.
Surfaces minimales dans
The area preserving curve shortening flow with Neumann free boundary conditions
We study the area preserving curve shortening flow with Neumann free boundary conditions outside of a convex domain in the Euclidean plane. Under certain conditions on the initial curve the flow does not develop any singularity, and it subconverges smoothly to an arc of a circle sitting outside of the given fixed domain and enclosing the same area as the initial curve.
The metric in gauge theory: an introduction and some applications
We discuss the geometry of the Yang-Mills configuration spaces and moduli spaces with respect to the metric. We also consider an application to a de Rham-theoretic version of Donaldson’s μ-map.
The Srní lectures on non-integrable geometries with torsion
This review article intends to introduce the reader to non-integrable geometric structures on Riemannian manifolds and invariant metric connections with torsion, and to discuss recent aspects of mathematical physics—in particular superstring theory—where these naturally appear. Connections with skew-symmetric torsion are exhibited as one of the main tools to understand non-integrable geometries. To this aim a a series of key examples is presented and successively dealt with using the notions of...
Théorèmes de masse positive
Un panorama de variedades aproximadamente Kähler.
Variétés riemanniennes isospectrales non isométriques
Vergleichende Betrachtungen über neuere geometrische Forschungen