Symplectic Duality of Symmetric Spaces
| dc.creator | Loi, Antonio J. Di Scala Andrea | |
| dc.date | 2006-03-06 | |
| dc.date.accessioned | 2026-07-07T07:06:35Z | |
| dc.date.available | 2026-07-07T07:06:35Z | |
| dc.description | With the aid of the theory of Jordan triple systems, we construct an explicit bi-symplectomorphism between a Hermitian symmetric space of non-compact type and $\C^n$ equipped with both the flat Kaehler-form and the Fubini-Study form. Our symplectomorphism is an explicit version of the symplectomorphism between Kaehler manifolds with non positive radial curvature and $\C^n$, whose existence was proved by Dusa McDuff. As a byproduct we get an interesting characterization of the Bergman form on a Hermitian space in terms of its restriction to classical Hermitian symmetric spaces of noncompact type. | |
| dc.identifier | https://arxiv.org/abs/math/0603141 | |
| dc.identifier | http://arxiv.org/abs/math/0603141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110078 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D05,58F06 | |
| dc.title | Symplectic Duality of Symmetric Spaces | |
| dc.type | text |