Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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

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 $1$.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [13 references]  Display  Hide  Download

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

Files

Shape4.pdf
Files produced by the author(s)

Identifiers

  • 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⟩

Share

Metrics

Record views

311

Files downloads

122