Abstract
We obtain curvature estimates for certain stable minimalhypersurfaces in R 4 and R 5without using volume bounds. It follows that if M is acomplete stable minimal hypersurface in R 4 orR 5, then M is a hyperplane whenM intersects each extrinsic ball in, at most,N-components.
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Chen, Q. Curvature Estimates for Stable Minimal Hypersurfaces in R4 and R5. Annals of Global Analysis and Geometry 19, 177–184 (2001). https://doi.org/10.1023/A:1010786622811
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DOI: https://doi.org/10.1023/A:1010786622811