A Table Theorem for Surfaces with Odd Euler Characteristic
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915183871393792 |
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| author | Sadr, Ali Naseri |
| author_facet | Sadr, Ali Naseri |
| contents | We use the square peg problem for smooth curves to prove a generalized table Theorem for real valued functions on Riemannian surfaces with odd Euler characteristic. We then use this result to prove the table conjecture for even functions on the two sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01977 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Table Theorem for Surfaces with Odd Euler Characteristic Sadr, Ali Naseri Geometric Topology Differential Geometry We use the square peg problem for smooth curves to prove a generalized table Theorem for real valued functions on Riemannian surfaces with odd Euler characteristic. We then use this result to prove the table conjecture for even functions on the two sphere. |
| title | A Table Theorem for Surfaces with Odd Euler Characteristic |
| topic | Geometric Topology Differential Geometry |
| url | https://arxiv.org/abs/2412.01977 |