24 pagesWe prove that hypersurfaces of $\R^{n+1}$ which are almost extremal for the Reilly inequality on $\lambda_1$ and have $L^p$-bounded mean curvature ($p>n$) are Hausdorff close to a sphere, have almost constant mean curvature and have a spectrum which asymptotically contains the spectrum of the sphere. We prove the same result for the Hasanis-Koutroufiotis inequality on extrinsic radius. We also prove that when a supplementary $L^q$ bound on the second fundamental is assumed, the almost extremal manifolds are Lipschitz close to a sphere when $q>n$, but not necessarily diffeomorphic to a sphere when $q\leqslant n$
We give an explicit estimate of the distance of a closed, connected, oriented and immersed hypersurf...
We give an explicit estimate of the distance of a closed, connected, oriented and immersed hypersurf...
summary:In this article, we prove new stability results for almost-Einstein hypersurfaces of the Euc...
24 pagesWe prove that hypersurfaces of $\R^{n+1}$ which are almost extremal for the Reilly inequalit...
24 pagesWe prove that hypersurfaces of $\R^{n+1}$ which are almost extremal for the Reilly inequalit...
24 pagesWe prove that hypersurfaces of $\R^{n+1}$ which are almost extremal for the Reilly inequalit...
We determine the Hausdorff limit-set of the Euclidean hypersurfaces with large $\lambda_1$ or small ...
We determine the Hausdorff limit-set of the Euclidean hypersurfaces with large $\lambda_1$ or small ...
16 pages, a paraitre dans Mathematische ZeitschriftInternational audienceWe give new estimates for t...
In this paper, we give pinching Theorems for the first nonzero eigenvalue $\lambda$ of the Laplacian...
AbstractWe prove some pinching results for the extrinsic radius of compact hypersurfaces in space fo...
18 pages, to appear in Annals of Global Analysis and Geometry.International audienceIn this paper, w...
International audienceIn this paper we give pinching theorems for the first nonzero eigenvalue of th...
International audienceIn this paper we give pinching theorems for the first nonzero eigenvalue of th...
We give an explicit estimate of the distance of a closed, connected, oriented and immersed hypersurf...
We give an explicit estimate of the distance of a closed, connected, oriented and immersed hypersurf...
We give an explicit estimate of the distance of a closed, connected, oriented and immersed hypersurf...
summary:In this article, we prove new stability results for almost-Einstein hypersurfaces of the Euc...
24 pagesWe prove that hypersurfaces of $\R^{n+1}$ which are almost extremal for the Reilly inequalit...
24 pagesWe prove that hypersurfaces of $\R^{n+1}$ which are almost extremal for the Reilly inequalit...
24 pagesWe prove that hypersurfaces of $\R^{n+1}$ which are almost extremal for the Reilly inequalit...
We determine the Hausdorff limit-set of the Euclidean hypersurfaces with large $\lambda_1$ or small ...
We determine the Hausdorff limit-set of the Euclidean hypersurfaces with large $\lambda_1$ or small ...
16 pages, a paraitre dans Mathematische ZeitschriftInternational audienceWe give new estimates for t...
In this paper, we give pinching Theorems for the first nonzero eigenvalue $\lambda$ of the Laplacian...
AbstractWe prove some pinching results for the extrinsic radius of compact hypersurfaces in space fo...
18 pages, to appear in Annals of Global Analysis and Geometry.International audienceIn this paper, w...
International audienceIn this paper we give pinching theorems for the first nonzero eigenvalue of th...
International audienceIn this paper we give pinching theorems for the first nonzero eigenvalue of th...
We give an explicit estimate of the distance of a closed, connected, oriented and immersed hypersurf...
We give an explicit estimate of the distance of a closed, connected, oriented and immersed hypersurf...
We give an explicit estimate of the distance of a closed, connected, oriented and immersed hypersurf...
summary:In this article, we prove new stability results for almost-Einstein hypersurfaces of the Euc...