The halfspace theorem for minimal hypersurfaces in regions bounded by minimal cones
classification
🧮 math.DG
keywords
minimalhypersurfacesboundedconesproveanalogouseuclideanhalfspace
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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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