The second Yamabe invariant
| dc.creator | Ammann, Bernd | |
| dc.creator | Humbert, Emmanuel | |
| dc.date | 2005-02-04 | |
| dc.date | 2005-03-15 | |
| dc.date.accessioned | 2026-07-07T09:22:49Z | |
| dc.date.available | 2026-07-07T09:22:49Z | |
| dc.description | Let $(M,g)$ be a compact Riemannian manifold of dimension $n \geq 3$. We define the second Yamabe invariant as the infimum of the second eigenvalue of the Yamabe operator over the metrics conformal to $g$ and of volume 1. We study when it is attained. As an application, we find nodal solutions of the Yamabe equation. | |
| dc.identifier | https://arxiv.org/abs/math/0502094 | |
| dc.identifier | http://arxiv.org/abs/math/0502094 | |
| dc.identifier | J. Funct. Anal. 235 no. 2, 377-412 (2006) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155510 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53A30, 35J60 (Primary) 35P30, 58J50, 58C40 (Secondary) | |
| dc.title | The second Yamabe invariant | |
| dc.type | text |