Width Stability of Rotationally Symmetric Metrics
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909321255714816 |
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| author | Stufflebeam, Hunter Sweeney Jr, Paul |
| author_facet | Stufflebeam, Hunter Sweeney Jr, Paul |
| contents | We prove a conjecture of Marques-Neves in arXiv:2103.10093, and several alternative formulations thereof, about the stability of the min-max width of three-spheres under the additional assumption of rotational symmetry. We can moreover extend our results to all dimensions $n\geqslant 3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13646 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Width Stability of Rotationally Symmetric Metrics Stufflebeam, Hunter Sweeney Jr, Paul Differential Geometry Analysis of PDEs 53C21 (Primary), 58J60, 53C24 (Secondary) We prove a conjecture of Marques-Neves in arXiv:2103.10093, and several alternative formulations thereof, about the stability of the min-max width of three-spheres under the additional assumption of rotational symmetry. We can moreover extend our results to all dimensions $n\geqslant 3$. |
| title | Width Stability of Rotationally Symmetric Metrics |
| topic | Differential Geometry Analysis of PDEs 53C21 (Primary), 58J60, 53C24 (Secondary) |
| url | https://arxiv.org/abs/2409.13646 |