Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces

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.

arXiv comment19 pages, comments welcome!

References in corpus (4)

• Volume estimates on the critical sets of solutions to elliptic PDEs
• A Structure Theory for Stable Codimension 1 Integral Varifolds with Applications to Area Minimising Hypersurfaces mod p
• The heat trace for the drifting Laplacian and Schrödinger operators on manifolds
• The Structure of Stable Codimension One Integral Varifolds near Classical Cones of Density $Q+1/2$