학술논문

Cyclic quadrilaterals and smooth Jordan curves.
Document Type
Article
Source
Inventiones Mathematicae. Dec2023, Vol. 234 Issue 3, p931-935. 5p.
Subject
*TORUS
*QUADRILATERALS
Language
ISSN
0020-9910
Abstract
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 C 2 has minimum Maslov number 2. [ABSTRACT FROM AUTHOR]