Minimal submanifolds with multiple isolated singularities
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917947260272640 |
|---|---|
| author | Dimler, Bryan |
| author_facet | Dimler, Bryan |
| contents | We extend Smale's singular bridge principle [Ann. of Math. 130 (1989), 603-642] for $n$-dimensional strictly stable minimal cones in $\mathbb{R}^{n+1}$ $(n \geq 7$) to arbitrary codimension and each $n \geq 3$. We then apply the procedure to copies of the Lawson-Osserman cone to produce a four dimensional minimal graph in $\mathbb{R}^7$ with any finite number of isolated singularities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_20327 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Minimal submanifolds with multiple isolated singularities Dimler, Bryan Differential Geometry Analysis of PDEs We extend Smale's singular bridge principle [Ann. of Math. 130 (1989), 603-642] for $n$-dimensional strictly stable minimal cones in $\mathbb{R}^{n+1}$ $(n \geq 7$) to arbitrary codimension and each $n \geq 3$. We then apply the procedure to copies of the Lawson-Osserman cone to produce a four dimensional minimal graph in $\mathbb{R}^7$ with any finite number of isolated singularities. |
| title | Minimal submanifolds with multiple isolated singularities |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2409.20327 |