| Issue |
ESAIM: COCV
Volume 28, 2022
|
|
|---|---|---|
| Article Number | 52 | |
| Number of page(s) | 57 | |
| DOI | https://doi.org/10.1051/cocv/2022047 | |
| Published online | 02 August 2022 | |
Boundary regularity of minimal oriented hypersurfaces on a manifold
Institute of Mathematics, University of Zurich, Winterthurerstrasse 190, 8057 Zurich, Switzerland
* Corresponding author: simone.steinbruechel@math.uzh.ch
Received:
13
August
2020
Accepted:
4
July
2022
In this article we prove that all boundary points of a minimal oriented hypersurface in a Riemannian manifold are regular, that is, in a neighborhood of any boundary point, the minimal surface is a C1,¼ submanifold with boundary.
Mathematics Subject Classification: 35B05 / 35D99 / 35J25 / 49Q05 / 49Q15
Key words: Minimal surfaces / Boundary regularity / Integral currents / Codimension
© The authors. Published by EDP Sciences, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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