Cyclic quadrilaterals and smooth Jordan curves
成果类型：
Article
署名作者：
Greene, Joshua Evan; Lobb, Andrew
署名单位：
Boston College; Durham University
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-023-01212-6
发表日期：
2023
页码：
931-935
关键词：
摘要：
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 C-2 has minimum Maslov number 2.