Metric shape of hypersurfaces with small extrinsic radius or large $ \lambda_1$
Differential Geometry
2012-10-23 v1
Abstract
We determine the Hausdorff limit-set of the Euclidean hypersurfaces with large or small extrinsic radius. The result depends on the norm of the curvature that is assumed to be bounded a priori, with a critical behaviour for equal to the dimension minus 1.
Keywords
Cite
@article{arxiv.1210.5689,
title = {Metric shape of hypersurfaces with small extrinsic radius or large $ \lambda_1$},
author = {Erwann Aubry and Jean-Francois Grosjean},
journal= {arXiv preprint arXiv:1210.5689},
year = {2012}
}