On Orthogonal Projections of Symplectic balls
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866929346208333824 |
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| author | Dias, Nuno Costa de Gosson, Maurice A. Prata, Joao Nuno |
| author_facet | Dias, Nuno Costa de Gosson, Maurice A. Prata, Joao Nuno |
| contents | We study the orthogonal projections of symplectic balls in $\mathbb{R}^{2n}$ on complex subspaces. In particular we show that these projections are themselves symplectic balls under a certain complexity assumption. Our main result is a refinement of a recent very interesting result of Abbondandolo and Matveyev extending the linear version of Gromov's non-squeezing theorem. We use a conceptually simpler approach where the Schur complement of a matrix plays a central role. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1911_03763 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | On Orthogonal Projections of Symplectic balls Dias, Nuno Costa de Gosson, Maurice A. Prata, Joao Nuno Symplectic Geometry Mathematical Physics We study the orthogonal projections of symplectic balls in $\mathbb{R}^{2n}$ on complex subspaces. In particular we show that these projections are themselves symplectic balls under a certain complexity assumption. Our main result is a refinement of a recent very interesting result of Abbondandolo and Matveyev extending the linear version of Gromov's non-squeezing theorem. We use a conceptually simpler approach where the Schur complement of a matrix plays a central role. |
| title | On Orthogonal Projections of Symplectic balls |
| topic | Symplectic Geometry Mathematical Physics |
| url | https://arxiv.org/abs/1911.03763 |