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arXiv · 2401.15301

Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces

Nick Edelen·Paul Minter
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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.

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Nick Edelen, Paul Minter. 2024-01-27. Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces. https://doi.org/10.1007/s00205-024-02071-y

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