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Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces (2401.15301v1)

Published 27 Jan 2024 in math.DG and math.AP

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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