A Liouville-type theorem for stable minimal hypersurfaces

Leon Simon

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arXiv · 2101.06404

A Liouville-type theorem for stable minimal hypersurfaces

Leon Simon

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Abstract

We prove that if $M$ is a strictly stable complete minimal hypersurface in Euclidean space with finite density at infinity and which lies on one side of a minimal cylinder with cross-section a strictly stable area minimizing hypercone, then $M$ must be cylindrical. Applications will be given in the references [Sim20a], [Sim20b].

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Leon Simon. 2021-01-16. A Liouville-type theorem for stable minimal hypersurfaces. https://arxiv.org/abs/2101.06404

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