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Pinching and asymptotical roundness for inverse curvature flows in Euclidean space

Scheuer, Julian 2016. Pinching and asymptotical roundness for inverse curvature flows in Euclidean space. Journal of Geometric Analysis 26 (3) , pp. 2265-2281. 10.1007/s12220-015-9627-1

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Abstract

We consider inverse curvature flows in the (n+1)-dimensional Euclidean space, n≥2, expanding by arbitrary negative powers of a 1-homogeneous, monotone curvature function F with some concavity properties. We obtain asymptotical roundness, meaning that circumradius minus inradius of the flow hypersurfaces decays to zero and that the flow becomes close to a flow of spheres.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Springer Verlag (Germany)
ISSN: 1050-6926
Funders: Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)
Date of First Compliant Deposit: 8 October 2020
Date of Acceptance: 15 June 2015
Last Modified: 27 Feb 2021 19:32
URI: http://orca.cf.ac.uk/id/eprint/135455

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