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Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces

  • Nick Edelen,
  • Paul Minter

摘要

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.