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arXiv · 2308.08103

Free Boundary Stable Minimal Hypersurfaces in Positively Curved 4-Manifolds

Yujie Wu
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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.

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Yujie Wu. 2023-08-16. Free Boundary Stable Minimal Hypersurfaces in Positively Curved 4-Manifolds. https://arxiv.org/abs/2308.08103

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