A geometric inequality for convex free boundary hypersurfaces in the unit ball
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- by Ben Lambert and Julian Scheuer PDF
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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.References
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Additional Information
- Ben Lambert
- Affiliation: University of Konstanz, Zukunftskolleg, Box 216, 78457 Konstanz, Germany
- Email: benjamin.lambert@uni-konstanz.de
- Julian Scheuer
- Affiliation: Albert-Ludwigs-Universität, Mathematisches Institut, Eckerstr. 1, 79104 Freiburg, Germany
- MR Author ID: 1104274
- Email: julian.scheuer@math.uni-freiburg.de
- Received by editor(s): June 21, 2016
- Received by editor(s) in revised form: September 27, 2016
- Published electronically: March 27, 2017
- Communicated by: Lei Ni
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 4009-4020
- MSC (2010): Primary 53C44, 58C35, 58J32
- DOI: https://doi.org/10.1090/proc/13516
- MathSciNet review: 3665052