A Curvature Estimate for Stable Marginally Outer Trapped Hypersurface With a Free Boundary
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SCOPUS
- Title
- A Curvature Estimate for Stable Marginally Outer Trapped Hypersurface With a Free Boundary
- Authors
- Chai, Xiaoxiang
- Date Issued
- 2024-03
- Publisher
- Oxford University Press
- 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/119451
- DOI
- 10.1093/imrn/rnad115
- ISSN
- 1073-7928
- Article Type
- Article
- Citation
- International Mathematics Research Notices, vol. 2024, no. 6, page. 4624 - 4655, 2024-03
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