Metric shape of hypersurfaces with small extrinsic radius or large $ \lambda_1$
Résumé
We determine the Hausdorff limit-set of the Euclidean hypersurfaces with large $\lambda_1$ or small extrinsic radius. The result depends on the $L^p$ norm of the curvature that is assumed to be bounded a priori, with a critical behaviour for $p$ equal to the dimension minus $1$.
Origine : Fichiers produits par l'(les) auteur(s)
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