English

Stationary one-sided area-minimizing hypersurfaces with isolated singularities

Differential Geometry 2019-04-05 v1

Abstract

We extend the results of Hardt and Simon on area-minimizing cones to prove that isolated singularities of stationary one-sided area-minimizing hypersurfaces can be locally perturbed away on the side that they are minimizing.

Keywords

Cite

@article{arxiv.1904.02289,
  title  = {Stationary one-sided area-minimizing hypersurfaces with isolated singularities},
  author = {Zhenhua Liu},
  journal= {arXiv preprint arXiv:1904.02289},
  year   = {2019}
}
R2 v1 2026-06-23T08:28:46.596Z