Metric shape of hypersurfaces with small extrinsic radius or large $\lambda_1$

1 Géométrie et Analyse
JAD - Laboratoire Jean Alexandre Dieudonné
Abstract : 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 $1$.
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Preprints, Working Papers, ...

Cited literature [13 references]

https://hal.archives-ouvertes.fr/hal-00743723
Contributor : Jean-Francois Grosjean <>
Submitted on : Friday, October 19, 2012 - 5:50:31 PM
Last modification on : Friday, July 9, 2021 - 11:30:03 AM
Long-term archiving on: : Sunday, January 20, 2013 - 3:46:18 AM

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• HAL Id : hal-00743723, version 1
• ARXIV : 1210.5689

Citation

Erwann Aubry, Jean-Francois Grosjean. Metric shape of hypersurfaces with small extrinsic radius or large $\lambda_1$. 2012. ⟨hal-00743723⟩

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