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On Orthogonal Projections of Symplectic balls
- Source :
- Comptes Rendus. Math\'ematique 2024, Vol. 362, p. 217-227
- Publication Year :
- 2019
-
Abstract
- 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.<br />Comment: 10 pages
- Subjects :
- Mathematics - Symplectic Geometry
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Comptes Rendus. Math\'ematique 2024, Vol. 362, p. 217-227
- Publication Type :
- Report
- Accession number :
- edsarx.1911.03763
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.5802/crmath.542