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A curvature estimate for stable marginally outer trapped hypersurface with a free boundary

A marginally outer trapped hypersurface is a generalization of minimal hypersurfaces originated from general relativity. We show a curvature estimate for stable marginally outer trapped hypersurfaces up to the free boundary satisfying a uniform area bound. Our proof is based on an iteration argument. The curvature estimate was previously known via a blowup argument for stable minimal hypersurfaces.

preprint2023arXivOpen access
Xiaoxiang Chai
gr-qcmath.DG
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Xiaoxiang Chai

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