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arXiv · 2403.08005

Stable free boundary minimal hypersurfaces in locally wedge-shaped manifolds

Zetian Yan
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Abstract

We prove that a stable $C^{1,1}$-to-edge properly embedded free boundary minimal hypersurface $\Sigma^3$ of a $4$-dimensional wedge domain $\Omega^4_{\theta}$ with angle $\theta\in (0,\pi]$ is flat.

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Zetian Yan. 2024-03-12. Stable free boundary minimal hypersurfaces in locally wedge-shaped manifolds. https://arxiv.org/abs/2403.08005

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