Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913212779200512 |
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| author | Edelen, Nick Minter, Paul |
| author_facet | Edelen, Nick Minter, Paul |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15301 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces Edelen, Nick Minter, Paul Differential Geometry Analysis of PDEs 53A10, 35J60 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. |
| title | Uniqueness of Regular Tangent Cones for Immersed Stable Hypersurfaces |
| topic | Differential Geometry Analysis of PDEs 53A10, 35J60 |
| url | https://arxiv.org/abs/2401.15301 |