Vector bundles over Grassmannians and the skew-symmetric curvature operator
| dc.creator | Stavrov, Iva | |
| dc.date | 2004-07-15 | |
| dc.date | 2005-05-28 | |
| dc.date.accessioned | 2026-07-07T05:10:23Z | |
| dc.date.available | 2026-07-07T05:10:23Z | |
| dc.description | A pseudo-Riemannian manifold is said to be spacelike Jordan IP if the Jordan normal form of the skew-symmetric curvature operator depends upon the point of the manifold, but not upon the particular spacelike 2-plane in the tangent bundle at that point. We use methods of algebraic topology to classify connected spacelike Jordan IP pseudo-Riemannian manifolds of signature $(p,q)$, where $q\ge 11$, $p\le \frac{q-6}{4}$ and where the set $\{q, . . ., q+p\}$ does not contain a power of 2. | |
| dc.description | This paper has been withdrawn due to a transfer of copyright agreement. The paper will appear in Differential Geometry and its Applications | |
| dc.identifier | https://arxiv.org/abs/math/0407284 | |
| dc.identifier | http://arxiv.org/abs/math/0407284 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71914 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 53B30; 55R99 | |
| dc.title | Vector bundles over Grassmannians and the skew-symmetric curvature operator | |
| dc.type | text |