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

Lambert, Ben and Scheuer, Julian 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: 07 Dec 2020 17:37
URI: http://orca.cf.ac.uk/id/eprint/135461

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