A geometric inequality for convex free boundary hypersurfaces in the unit ball

Lambert, Ben and Scheuer, Julian ORCID: https://orcid.org/0000-0003-2664-1896 2017. A geometric inequality for convex free boundary hypersurfaces in the unit ball. Proceedings of the American Mathematical Society 145 (9) , pp. 4009-4020. 10.1090/proc/13516

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Abstract

We use the inverse mean curvature flow with a free boundary perpendicular to the sphere to prove a geometric inequality involving the Willmore energy for convex hypersurfaces of dimension $ n\geq 3$ with boundary on the sphere.

Item Type:	Article
Date Type:	Published Online
Status:	Published
Schools:	Mathematics
Publisher:	American Mathematical Society
ISSN:	0002-9939
Date of First Compliant Deposit:	8 October 2020
Date of Acceptance:	6 October 2016
Last Modified:	30 Nov 2024 23:15
URI:	https://orca.cardiff.ac.uk/id/eprint/135461

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