Stationary and stable varifolds with singularities
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918440144470016 |
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| author | De Lellis, Camillo Hirsch, Jonas Spolaor, Luca |
| author_facet | De Lellis, Camillo Hirsch, Jonas Spolaor, Luca |
| contents | We construct minimal $m$-dimensional immersions in $\R^{m+1}$, equipped with a $C^{1, α}$ metric, $α\in [0,1)$, with a sequence of \emph{catenoidal necks} or \emph{floating disks} converging to an isolated, multiplicity $2$, singular flat point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_21508 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stationary and stable varifolds with singularities De Lellis, Camillo Hirsch, Jonas Spolaor, Luca Differential Geometry Analysis of PDEs 49Q20, 53A10, 35J60 We construct minimal $m$-dimensional immersions in $\R^{m+1}$, equipped with a $C^{1, α}$ metric, $α\in [0,1)$, with a sequence of \emph{catenoidal necks} or \emph{floating disks} converging to an isolated, multiplicity $2$, singular flat point. |
| title | Stationary and stable varifolds with singularities |
| topic | Differential Geometry Analysis of PDEs 49Q20, 53A10, 35J60 |
| url | https://arxiv.org/abs/2509.21508 |