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Minoration conforme du spectre du laplacien de Hodge-de Rham
11 pages, 2 figures, in french -
Prescription du spectre du laplacien de Hodge-de Rham dans une classe conforme
18 pages, 4 figures, in french. v3: some errors corrected -
Prescription du spectre de Steklov dans une classe conforme
27pages, 1 figure -
Conformal Geometry for Viewpoint Change Representation
International audience -
Generalized connected sums for problems issued from the geometry
These last two decades the connected sum techniques, essentially based on analytical tools, are revealed to be a powerful instrument to understand solutions of several... -
The spinorial $\tau$-invariant and 0-dimensional surgery
Let $M$ be a compact manifold with a metric $g$ and with a fixed spin structure $\chi$. Let $\lambda_1^+(g)$ be the first non-negative eigenvalue of the Dirac operator... -
Globally hyperbolic conformally flat spacetimes
As a consequence of the Lorentzian version of Liouville’s Theorem, everyconformally flat space-time of dimension 3 is a (Ein1,n,O0(2, n + 1))-manifold. The Einstein’s... -
The first eigenvalue of Dirac and Laplace operators on surfaces
Let $(M,g,\sigma)$ be a compact Riemmannian surface equipped with a spin structure $\sigma$. For any metric $\tilde{g}$ on $M$, we denote by $\mu_1(\tilde{g})$ (resp....
