English

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

Differential Geometry 2019-06-19 v1

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 rr-minimal hypersurfaces.

Keywords

Cite

@article{arxiv.1810.03578,
  title  = {The halfspace theorem for minimal hypersurfaces in regions bounded by minimal cones},
  author = {Marcos Petrúcio Cavalcante and Wagner Oliveira Costa-Filho},
  journal= {arXiv preprint arXiv:1810.03578},
  year   = {2019}
}

Comments

7 pages