Volume 28, 2022
|Number of page(s)||57|
|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: firstname.lastname@example.org
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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