The rectangular peg problem

Greene, Joshua; Lobb, Andrew

Abstract

For every smooth Jordan curve and rectangle R in the Euclidean plane, we show that there exists a rectangle similar to R whose vertices lie on . The proof relies on the theorem of Shevchishin and Nemirovski that the Klein bottle does not admit a smooth Lagrangian embedding in C2.

Citation

Greene, J., & Lobb, A. (2021). The rectangular peg problem. Annals of Mathematics, 194(2), 509-517. https://doi.org/10.4007/annals.2021.194.2.4

• Journal Article Type: Article
• Publication Date: 2021-09
• Deposit Date: Sep 20, 2021
• Publicly Available Date: Sep 21, 2021
• Journal: Annals of Mathematics
• Print ISSN: 0003-486X
• Electronic ISSN: 1939-8980
• Publisher: Department of Mathematics
• Peer Reviewed: Peer Reviewed
• Volume: 194
• Issue: 2
• Pages: 509-517
• DOI: https://doi.org/10.4007/annals.2021.194.2.4
• Public URL: https://durham-repository.worktribe.com/output/1240328