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arXiv · 1810.03578

The halfspace theorem for minimal hypersurfaces in regions bounded by minimal cones

Marcos Petrúcio Cavalcante·Wagner Oliveira Costa-Filho
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Abstract

We prove that there are no minimal hypersurfaces properly immersed in any region of the Euclidean space bounded by unstable minimal cones. We also prove the analogous result for $r$-minimal hypersurfaces.

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Marcos Petrúcio Cavalcante, Wagner Oliveira Costa-Filho. 2018-10-08. The halfspace theorem for minimal hypersurfaces in regions bounded by minimal cones. https://doi.org/10.1112/blms.12265

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