Willmore inequality on hypersurfaces in hyperbolic space

Hu, Yingxiang

doi:10.1090/proc/13968

Willmore inequality on hypersurfaces in hyperbolic space

Author: Yingxiang Hu
Journal: Proc. Amer. Math. Soc. 146 (2018), 2679-2688
MSC (2010): Primary 53C42, 53C44
DOI: https://doi.org/10.1090/proc/13968
Published electronically: February 1, 2018
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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 -space.

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