The halfspace theorem for minimal hypersurfaces in regions bounded by minimal cones
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2018
- DOI:
- 10.48550/arXiv.1810.03578
- arXiv:
- arXiv:1810.03578
- Bibcode:
- 2018arXiv181003578P
- Keywords:
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- Mathematics - Differential Geometry;
- Primary 53C42;
- Secondary 58J05;
- 35B50
- E-Print:
- 7 pages