Yamabe Invariants and Spin^c Structures
| dc.creator | Gursky, Matthew J. | |
| dc.creator | LeBrun, Claude | |
| dc.date | 1997-08-01 | |
| dc.date.accessioned | 2026-07-07T09:13:17Z | |
| dc.date.available | 2026-07-07T09:13:17Z | |
| dc.description | The Yamabe Invariant of a smooth compact manifold is by definition the supremum of the scalar curvatures of unit-volume Yamabe metrics on the manifold. For an explicit infinite class of 4-manifolds, we show that this invariant is positive but strictly less than that of the 4-sphere. This is done by using spin^c Dirac operators to control the lowest eigenvalue of a perturbation of the Yamabe Laplacian. These results dovetail perfectly with those derived from the perturbed Seiberg-Witten equations, but the present method is much more elementary in spirit. | |
| dc.description | Standard LaTeX file | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9708002 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9708002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152271 | |
| dc.subject | Differential Geometry | |
| dc.title | Yamabe Invariants and Spin^c Structures | |
| dc.type | text |