Cyclic quadrilaterals and smooth Jordan curves
For every smooth Jordan curve $\gamma$ and cyclic quadrilateral $Q$ in the Euclidean plane, we show that there exists an orientation-preserving similarity taking the vertices of $Q$ to $\gamma$. The proof relies on the theorem of Polterovich and Viterbo that an embedded Lagrangian torus in $\mathbb{...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | For every smooth Jordan curve $\gamma$ and cyclic quadrilateral $Q$ in the
Euclidean plane, we show that there exists an orientation-preserving similarity
taking the vertices of $Q$ to $\gamma$. The proof relies on the theorem of
Polterovich and Viterbo that an embedded Lagrangian torus in $\mathbb{C}^2$ has
minimum Maslov number 2. |
|---|---|
| DOI: | 10.48550/arxiv.2011.05216 |