A Note on the Sheeting Theorem for Stable Hypersurfaces with Bounded Mean Curvature
Abstract
We get a local sheeting theorem for stable hypersurfaces with bounded mean curvature in R^{n+1}. As suggested by the anonymous reviewer, we have included a detailed proof here. The argument presented here is identical to Schoen-Simon’s seminal work. This note serves as supplementary material for our paper. For simplicity, we only treat the smooth case; the arguments apply equally to the case where the singular set has codimension two.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Advanced Differential Geometry Research
Geometric and Algebraic Topology
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 11 January 2026
- Document type
- Preprint