Totally integrable symplectic billiards are ellipses
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866915990045982720 |
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| author | Baracco, Luca Bernardi, Olga |
| author_facet | Baracco, Luca Bernardi, Olga |
| contents | In this paper we prove that a totally integrable strictly-convex symplectic billiard table, whose boundary has everywhere strictly positive curvature, must be an ellipse. The proof, inspired by the analogous result of Bialy for Birkhoff billiards, uses the affine equivariance of the symplectic billiard map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_19701 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Totally integrable symplectic billiards are ellipses Baracco, Luca Bernardi, Olga Dynamical Systems 37E40 37J35 In this paper we prove that a totally integrable strictly-convex symplectic billiard table, whose boundary has everywhere strictly positive curvature, must be an ellipse. The proof, inspired by the analogous result of Bialy for Birkhoff billiards, uses the affine equivariance of the symplectic billiard map. |
| title | Totally integrable symplectic billiards are ellipses |
| topic | Dynamical Systems 37E40 37J35 |
| url | https://arxiv.org/abs/2305.19701 |