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Fourth-order geometric flows and integral pinching of the curvature
We study fourth-order geometric flows on compact Riemannian manifolds, which naturally appear as gradient flows of quadratic curvature functionals. When the Yamabe... -
Geometry of manifolds, spaces of measures and spaces of subgroups
This memoir presents results in three drections. In Riemannian geometry, we prove a generalized Günther inequality on volume, and in dimension 4 an isoperimetric... -
Principe de recollement des équations des contraintes en relativité générale
En relativité générale, les équations d'Einstein pour un espace-temps peuvent se voir comme une équation d'évolution, dont les données ini- tiales, la métrique et la... -
Blow-up solutions for the 2-dimensional critical Schrödinger equation on a ri...
The present work aims at investigating the effects of a non-euclidean geometry on existence and uniqueness results for critical blow up NLS solutions. We will use many...
