Supersqueezed sphere
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866917084319973376 |
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| author | Qiu, Hongda |
| author_facet | Qiu, Hongda |
| contents | This work pose an example of a smooth closed surface in $\mathbb{R}^3$ which has genus $0$, normal curvatures at most $1$ in absolute value and encloses a volume smaller than the volume of a unit ball. It gives a negative answer to a question asked by Dmitri Burago and Anton Petrunin. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_12598 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Supersqueezed sphere Qiu, Hongda Differential Geometry Geometric Topology This work pose an example of a smooth closed surface in $\mathbb{R}^3$ which has genus $0$, normal curvatures at most $1$ in absolute value and encloses a volume smaller than the volume of a unit ball. It gives a negative answer to a question asked by Dmitri Burago and Anton Petrunin. |
| title | Supersqueezed sphere |
| topic | Differential Geometry Geometric Topology |
| url | https://arxiv.org/abs/2511.12598 |