Willmore inequality on hypersurfaces in hyperbolic space
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- by Yingxiang Hu PDF
- Proc. Amer. Math. Soc. 146 (2018), 2679-2688 Request permission
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 $3$-space.References
Additional Information
- Yingxiang Hu
- Affiliation: Yau Mathematical Sciences Center, Tsinghua University, Beijing 100086, People’s Republic of China
- MR Author ID: 1110051
- Email: huyingxiang10@163.com
- Received by editor(s): November 27, 2016
- Received by editor(s) in revised form: September 13, 2017
- Published electronically: February 1, 2018
- Communicated by: Lei Ni
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 2679-2688
- MSC (2010): Primary 53C42, 53C44
- DOI: https://doi.org/10.1090/proc/13968
- MathSciNet review: 3778167