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arXiv · 1407.2474

Minimal hypersurfaces asymptotic to Simons cones

Laurent Mazet
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Abstract

In this paper, we prove that, up to similarity, there are only two minimal hypersurfaces in $\mathbb{R}^{n+2}$ that are asymptotic to a Simons cone, i.e. the minimal cone over the minimal hypersurface $\sqrt{\frac pn}\mathbb{S}^p\times \sqrt{\frac{n-p}n} \mathbb{S}^{n-p}$ of $\mathbb{S}^{n+1}$

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Laurent Mazet. 2015-03-17. Minimal hypersurfaces asymptotic to Simons cones. https://doi.org/10.1017/s1474748015000110

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