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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2405.18301 |
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| _version_ | 1866929670557007872 |
|---|---|
| author | Rodriguez, Alex |
| author_facet | Rodriguez, Alex |
| contents | We show that every Jordan quadrilateral $Q\subset\mathbb{C}$ contains a disk $D$ so that $\partial D\cap\partial Q$ contains points of three different sides of $Q$. As a consequence, together with some modulus estimates from Lehto and Virtanen, we offer a short proof of the main result obtained by Chrontsios-Garitsis and Hinkkanen in 2024 and it also improves the bounds on their result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18301 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large disks touching three sides of a quadrilateral Rodriguez, Alex Complex Variables Metric Geometry We show that every Jordan quadrilateral $Q\subset\mathbb{C}$ contains a disk $D$ so that $\partial D\cap\partial Q$ contains points of three different sides of $Q$. As a consequence, together with some modulus estimates from Lehto and Virtanen, we offer a short proof of the main result obtained by Chrontsios-Garitsis and Hinkkanen in 2024 and it also improves the bounds on their result. |
| title | Large disks touching three sides of a quadrilateral |
| topic | Complex Variables Metric Geometry |
| url | https://arxiv.org/abs/2405.18301 |