On the homotopy type of the space $\mathcal{R}^+(M)$
| dc.creator | Chernysh, Vladislav | |
| dc.date | 2004-05-13 | |
| dc.date | 2004-05-14 | |
| dc.date.accessioned | 2026-07-07T05:08:12Z | |
| dc.date.available | 2026-07-07T05:08:12Z | |
| dc.description | we show that the space of metrics of positive scalar curvature on a manifold is, when nonempty, homotopy equivalent to a space of metrics of positive scalar curvature that restrict to a fixed metric near a given submanifold of codimension greater or equal than 3. Our main tool is a parameterized version of the Gromov-Lawson construction, which was used to show that the existence of a metric of positive scalar curvature on a manifold was invariant under surgeries in codimension greater or equal than 3. | |
| dc.description | 22 pages, 5 EPS figures; fixed problems with bibliography | |
| dc.identifier | https://arxiv.org/abs/math/0405235 | |
| dc.identifier | http://arxiv.org/abs/math/0405235 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71166 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | 58D17; 57R65 | |
| dc.title | On the homotopy type of the space $\mathcal{R}^+(M)$ | |
| dc.type | text |