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The inverse mean curvature flow perpendicular to the sphere

Lambert, Ben and Scheuer, Julian 2016. The inverse mean curvature flow perpendicular to the sphere. Mathematische Annalen 364 , pp. 1069-1093. 10.1007/s00208-015-1248-2

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Abstract

We consider the smooth inverse mean curvature flow of strictly convex hypersurfaces with boundary embedded in R n+1 , Rn+1, which are perpendicular to the unit sphere from the inside. We prove that the flow hypersurfaces converge to the embedding of a flat disk in the norm of C 1,β , C1,β, β<1 β<1 .

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Springer
ISSN: 0025-5831
Date of First Compliant Deposit: 21 April 2020
Date of Acceptance: 8 April 2015
Last Modified: 27 Nov 2020 20:34
URI: http://orca.cardiff.ac.uk/id/eprint/131156

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