On the moment map on symplectic manifolds
| dc.creator | Biliotti, Leonardo | |
| dc.date | 2006-05-10 | |
| dc.date | 2006-09-28 | |
| dc.date.accessioned | 2026-07-07T07:14:06Z | |
| dc.date.available | 2026-07-07T07:14:06Z | |
| dc.description | We consider a connected symplectic manifold $M$ acted on by a connected Lie group $G$ in a Hamiltonian fashion. If $G$ is compact, we prove give an Equivalence Theorem for the symplectic manifolds whose squared moment map $\parallel μ\parallel^2$ is constant. This result works also in the almost-Kähler setting. Then we study the case when $G$ is a non compact Lie group acting properly on $M$ and we prove a splitting results for symplectic manifolds. | |
| dc.description | v.1: 8 pages. v.2, 9 pages: Theorem 1.1 is corrected and improved. Proposition 1.2 (v.1) becomes Theorem 1.2 and it is improved. Proposition 1.3 completely revisited, due a crucial error in the proof. Finally, Corollary 1.4 did not appear in v.1. v.3 some mistakes are corrected | |
| dc.identifier | https://arxiv.org/abs/math/0605270 | |
| dc.identifier | http://arxiv.org/abs/math/0605270 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/112734 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C55, 57S15 | |
| dc.title | On the moment map on symplectic manifolds | |
| dc.type | text |