The rectangular peg problem

Greene, Joshua; Lobb, Andrew

doi:10.4007/annals.2021.194.2.4

The rectangular peg problem

Greene, Joshua; Lobb, Andrew

Authors

Joshua Greene

Professor Andrew Lobb andrew.lobb@durham.ac.uk
Professor

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
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