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arXiv · 1810.05046

Area Bounds for Free Boundary Minimal Surfaces in a Geodesic Ball in the Sphere

Brian Freidin·Peter McGrath
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Abstract

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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Brian Freidin, Peter McGrath. 2018-10-11. Area Bounds for Free Boundary Minimal Surfaces in a Geodesic Ball in the Sphere. https://arxiv.org/abs/1810.05046

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