Lifting Group Actions and Nonnegative Curvature
| dc.creator | Grove, Karsten | |
| dc.creator | Ziller, Wolfgang | |
| dc.date | 2008-01-05 | |
| dc.date.accessioned | 2026-07-07T08:52:46Z | |
| dc.date.available | 2026-07-07T08:52:46Z | |
| dc.description | We show that all vector bundles over CP^2 which are not spin admit a complete metric with nonnegative sectional curvature. In the proof we construct a nonnegatively curved metric on the corresponding principle bundle by showing that it admits a cohomogeneity one action with singular orbits of codimension 2. This is closely related to the problem of when an action of G on the base of an L principle bundle lifts to the total space, such that the lift commutes with L. We solve this lifting problem for all SO(k) principle bundles over a 4-dimensional simply connected base B with G a cohomogeneity one action on B. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/0801.0767 | |
| dc.identifier | http://arxiv.org/abs/0801.0767 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145393 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C29, 53C07 | |
| dc.title | Lifting Group Actions and Nonnegative Curvature | |
| dc.type | text |