English

Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces

Differential Geometry 2024-01-30 v1 Analysis of PDEs

Abstract

We establish uniqueness and regularity results for tangent cones (at a point or at infinity) with isolated singularities arising from a given immersed stable minimal hypersurface with suitably small (non-immersed) singular set. In particular, our results allow the tangent cone to occur with any integer multiplicity.

Keywords

Cite

@article{arxiv.2401.15301,
  title  = {Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces},
  author = {Nick Edelen and Paul Minter},
  journal= {arXiv preprint arXiv:2401.15301},
  year   = {2024}
}

Comments

19 pages, comments welcome!