A splitting result for compact symplectic manifolds
| dc.creator | Bedulli, Lucio | |
| dc.creator | Gori, Anna | |
| dc.date | 2004-12-02 | |
| dc.date.accessioned | 2026-07-07T10:06:29Z | |
| dc.date.available | 2026-07-07T10:06:29Z | |
| dc.description | We consider compact symplectic manifolds acted on effectively by a compact connected Lie group $K$ in a Hamiltonian fashion. We prove that the squared moment map $||μ||^2$ is constant if and only if $K$ is semisimple and the manifold is $K$-equivariantly symplectomorphic to a product of a flag manifold and a compact symplectic manifold which is acted on trivially by $K$. In the almost-Kähler setting the symplectomorphism turns out to be an isometry. | |
| dc.description | 5 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/math/0412056 | |
| dc.identifier | http://arxiv.org/abs/math/0412056 | |
| dc.identifier | Results Math. 47 (2005), n. 3-4, 194-198. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170341 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D20 | |
| dc.title | A splitting result for compact symplectic manifolds | |
| dc.type | text |