Pinching and asymptotical roundness for inverse curvature flows in Euclidean space

Scheuer, Julian ORCID: https://orcid.org/0000-0003-2664-1896 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:	18 Nov 2024 00:30
URI:	https://orca.cardiff.ac.uk/id/eprint/135455

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