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Cyclic quadrilaterals and smooth Jordan curves
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Journal Article
Cyclic quadrilaterals and smooth Jordan curves
2023
Overview
For every smooth Jordan curve γ and cyclic quadrilateral Q in the Euclidean plane, we show that there exists an orientation-preserving similarity taking the vertices of Q to γ. The proof relies on the theorem of Polterovich and Viterbo that an embedded Lagrangian torus in C2 has minimum Maslov number 2.
Publisher
Springer Nature B.V
Subject
