Area bounds for free boundary minimal surfaces in a geodesic ball in the sphere

We extend to higher dimensions earlier sharp bounds for the area of two dimensional free boundary minimal surfaces contained in a geodesic ball of the round sphere. This follows work of Brendle and Fraser-Schoen in the euclidean case.

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Bibliographic Details
Published in:Journal of functional analysis 2019-12, Vol.277 (11), p.108276, Article 108276
Main Authors: Freidin, Brian, McGrath, Peter
Format: Article
Language:English
Subjects:
Area bounds
Free boundary
Geometric analysis
Minimal surfaces
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Description
Summary:We extend to higher dimensions earlier sharp bounds for the area of two dimensional free boundary minimal surfaces contained in a geodesic ball of the round sphere. This follows work of Brendle and Fraser-Schoen in the euclidean case.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2019.108276