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MINIMAL HYPERSURFACES ASYMPTOTIC TO SIMONS CONES
Published online by Cambridge University Press: 01 April 2015
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 $\sqrt{\frac{p}{n}}\mathbb{S}^{p}\times \sqrt{\frac{n-p}{n}}\mathbb{S}^{n-p}$ of $\mathbb{S}^{n+1}$ .
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- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 16 , Issue 1 , February 2017 , pp. 39 - 58
- Copyright
- © Cambridge University Press 2015
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