Complete hyperkaehler 4n-manifolds with a local tri-Hamiltonian R^n-action
| dc.creator | Bielawski, Roger | |
| dc.date | 1998-08-31 | |
| dc.date | 1999-01-14 | |
| dc.date.accessioned | 2026-07-07T05:25:50Z | |
| dc.date.available | 2026-07-07T05:25:50Z | |
| dc.description | We classify those manifolds mentioned in the title which have finite topological type. Namely we show any such connected M is isomorphic to a hyperkaehler quotient of a flat quaternionic vector space by an abelian group. We also show that a compact connected and simply connected 3-Sasakian manifold of dimension 4n-1 whose isometry group has rank n+1 is isometric to a 3-Sasakian quotient of a sphere by a torus. As a corollary, a compact connected quaternion-Kaehler 4n-manifold with positive scalar curvature and isometry group of rank n+1 is isometric to the quaternionic projective space or the complex grassmanian. | |
| dc.description | 18 pages, AMS-Latex, replaced with a final version (minor corrections) on 14.01.1999; to appear in Math. Ann | |
| dc.identifier | https://arxiv.org/abs/math/9808134 | |
| dc.identifier | http://arxiv.org/abs/math/9808134 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77334 | |
| dc.subject | Differential Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | 53C25 | |
| dc.title | Complete hyperkaehler 4n-manifolds with a local tri-Hamiltonian R^n-action | |
| dc.type | text |