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Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in euclidean space

Scheuer, Julian 2015. Quantitative oscillation estimates for almost-umbilical closed hypersurfaces in euclidean space. Bulletin of the Australian Mathematical Society 92 (1) , pp. 133-144. 10.1017/S0004972715000222

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Abstract

We prove ϵ -closeness of hypersurfaces to a sphere in Euclidean space under the assumption that the traceless second fundamental form is δ -small compared to the mean curvature. We give the explicit dependence of δ on ϵ within the class of uniformly convex hypersurfaces with bounded volume.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Cambridge University Press
ISSN: 0004-9727
Funders: Deutsche Forschungsgemeinschaft (German Research Foundation, DFG)
Date of First Compliant Deposit: 15 September 2020
Date of Acceptance: 13 January 2015
Last Modified: 29 Nov 2020 07:25
URI: http://orca.cf.ac.uk/id/eprint/134860

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