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Willmore inequality on hypersurfaces in hyperbolic space

Yingxiang Hu

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Source: Crossref

Published: Feb 1, 2018

DOI: 10.1090/proc/13968

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Source abstract

In this article, we prove a geometric inequality for star-shaped and mean-convex hypersurfaces in hyperbolic space by inverse mean curvature flow. This inequality can be considered as a generalization of Willmore inequality for a closed surface in hyperbolic 3 3 -space.

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Willmore inequality on hypersurfaces in hyperbolic space — Mathematical Frontier Network