Curvature, Covering Spaces, and Seiberg-Witten Theory
| dc.creator | LeBrun, Claude | |
| dc.date | 2001-10-31 | |
| dc.date | 2003-07-11 | |
| dc.date.accessioned | 2026-07-07T04:44:10Z | |
| dc.date.available | 2026-07-07T04:44:10Z | |
| dc.description | The Yamabe invariant Y(M) of a smooth compact manifold is roughly the supremum of the scalar curvatures of unit-volume constant-scalar-curvature Riemannian metrics g on M. (To be precise, one only considers those constant-scalar-curvature metrics which are Yamabe minimizers, but this technicality does not, e.g. affect the sign of the answer.) In this article, it is shown that many 4-manifolds M with Y(M) < 0 have have finite covering spaces \tilde{M} with Y(\tilde{M}) > 0. | |
| dc.description | Source file for published version. Discussion expanded, minor errors corrected. 8 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/math/0110329 | |
| dc.identifier | http://arxiv.org/abs/math/0110329 | |
| dc.identifier | New York Journal of Mathematics 9 (2003) 93-97, see http://nyjm.albany.edu:8000/j/2003/9-7.html | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62527 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 53C27; 57R57 | |
| dc.title | Curvature, Covering Spaces, and Seiberg-Witten Theory | |
| dc.type | text |