Joshua Greene
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 |
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 |
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Accepted Journal Article
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