A note on the moment map on compact Kähler manifolds
| dc.creator | Gori, Anna | |
| dc.creator | Podesta', Fabio | |
| dc.date | 2003-10-15 | |
| dc.date.accessioned | 2026-07-07T05:01:54Z | |
| dc.date.available | 2026-07-07T05:01:54Z | |
| dc.description | We consider compact Kähler manifolds acted on by a connected compact Lie group $K$ of isometries in Hamiltonian fashion. We prove that the squared moment map $\|μ\|^2$ is constant if and only if the manifold is biholomorphically and $K$-equivariantly isometric to a product of a flag manifold and a compact Kähler manifold which is acted on trivially by $K$. The authors do not know whether the compactness of $M$ is essential in the main theorem; more generally it would be interesting to have a similar result for (compact) symplectic manifolds. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310213 | |
| dc.identifier | http://arxiv.org/abs/math/0310213 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68854 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D20 | |
| dc.title | A note on the moment map on compact Kähler manifolds | |
| dc.type | text |