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math.DG2012
Spectrum of hypersurfaces with small extrinsic radius or large in euclidean spaces
Erwann Aubry, Jean-Francois Grosjean
In this paper, we prove that Euclidean hypersurfaces with almost extremal extrinsic radius or have a spectrum that asymptotically contains the spectrum of the extremal sphere…
math.DG2012
Metric shape of hypersurfaces with small extrinsic radius or large
Erwann Aubry, Jean-Francois Grosjean
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 assume…