Free Boundary Stable Minimal Hypersurfaces in Positively Curved 4-Manifolds
Differential Geometry
2026-01-15 v3
Abstract
We show that the combination of nonnegative 2-intermediate Ricci Curvature and strict positivity of scalar curvature forces rigidity of two-sided free boundary stable minimal hypersurface in a 4-manifold with bounded geometry and weakly convex boundary. This extends the method of Chodosh-Li-Stryker to free boundary minimal hypersurfaces in ambient manifolds with boundary.
Keywords
Cite
@article{arxiv.2308.08103,
title = {Free Boundary Stable Minimal Hypersurfaces in Positively Curved 4-Manifolds},
author = {Yujie Wu},
journal= {arXiv preprint arXiv:2308.08103},
year = {2026}
}
Comments
Writing improved, some details of theorem 6.4 are moved to the appendix to simplify the presentation