On the topology of scalar-flat manifolds
| dc.creator | Dessai, Anand | |
| dc.date | 2000-06-20 | |
| dc.date | 2000-06-21 | |
| dc.date.accessioned | 2026-07-07T04:35:59Z | |
| dc.date.available | 2026-07-07T04:35:59Z | |
| dc.description | Let $M$ be a simply-connected closed manifold of dimension $\geq 5$ which does not admit a metric with positive scalar curvature. We give necessary conditions for $M$ to admit a scalar-flat metric. These conditions involve the first Pontrjagin class and the cohomology ring of $M$. As a consequence any simply-connected scalar-flat manifold of dimension $\geq 5$ with vanishing first Pontrjagin class admits a metric with positive scalar curvature. We also describe some relations between scalar-flat metrics, almost complex structures and the free loop space. | |
| dc.description | revised version of preprint 45, SFB 478, Muenster; to appear in Bulletin of the LMS; 10 pages; no figures; MSC added | |
| dc.identifier | https://arxiv.org/abs/math/0006149 | |
| dc.identifier | http://arxiv.org/abs/math/0006149 | |
| dc.identifier | Bull. London Math. Soc. 33, (2001), pp. 203-209 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59442 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 53C25; 55P35; 53C27; 53C29 | |
| dc.title | On the topology of scalar-flat manifolds | |
| dc.type | text |