The inverse mean curvature flow perpendicular to the sphere

Lambert, Ben and Scheuer, Julian ORCID: https://orcid.org/0000-0003-2664-1896 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:	16 Nov 2024 07:15
URI:	https://orca.cardiff.ac.uk/id/eprint/131156

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