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arXiv · 2205.05890

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

Xiaoxiang Chai
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Abstract

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.

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Xiaoxiang Chai. 2022-05-12. A curvature estimate for stable marginally outer trapped hypersurface with a free boundary. https://arxiv.org/abs/2205.05890

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