A symplectic embedding of the cube with minimal sections and a question by Schlenk
Publication date
2022-04-19
Authors
Ziltener, F.J.
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Document Type
Article
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Abstract
I prove that the open unit cube can be symplectically embedded into a longer polydisc in such a way that the area of each section satisfies a sharp bound and the complement of each section is path-connected. This answers a variant of a question by F. Schlenk.
Keywords
Symplectic embedding, section of embedding, wrapping construction
Citation
Ziltener, F J 2022, 'A symplectic embedding of the cube with minimal sections and a question by Schlenk', Journal of Fixed Point Theory and Applications, vol. 24, 40, pp. 1-10. https://doi.org/10.1007/s11784-022-00961-w